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Finding the Third Proportional to 490,650.75 and 695,800.13

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Solution

The third proportional to 490,650.75 and 695,800.13 is: 986,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,650.75 : 695,800.13 = 695,800.13 : x
  2. Step 2: Convert to fraction form
    490,650.75/695,800.13 = 695,800.13/x
  3. Step 3: Cross multiply
    490,650.75x = 695,800.13 × 695,800.13
  4. Step 4: Simplify right side
    490,650.75x = 484,137,813,950.02
  5. Step 5: Solve for x
    x = 484,137,813,950.02/490,650.75
  6. Step 6: Final answer
    x = 986,725.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.