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Finding the Third Proportional to 459,442,651.50 and 694,634,302.13

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Solution

The third proportional to 459,442,651.50 and 694,634,302.13 is: 1,050,222,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,442,651.50 : 694,634,302.13 = 694,634,302.13 : x
  2. Step 2: Convert to fraction form
    459,442,651.50/694,634,302.13 = 694,634,302.13/x
  3. Step 3: Cross multiply
    459,442,651.50x = 694,634,302.13 × 694,634,302.13
  4. Step 4: Simplify right side
    459,442,651.50x = 482,516,813,688,685,760
  5. Step 5: Solve for x
    x = 482,516,813,688,685,760/459,442,651.50
  6. Step 6: Final answer
    x = 1,050,222,072.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.