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Finding the Third Proportional to 459,038.25 and 994,306.50

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Solution

The third proportional to 459,038.25 and 994,306.50 is: 2,153,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,038.25 : 994,306.50 = 994,306.50 : x
  2. Step 2: Convert to fraction form
    459,038.25/994,306.50 = 994,306.50/x
  3. Step 3: Cross multiply
    459,038.25x = 994,306.50 × 994,306.50
  4. Step 4: Simplify right side
    459,038.25x = 988,645,415,942.25
  5. Step 5: Solve for x
    x = 988,645,415,942.25/459,038.25
  6. Step 6: Final answer
    x = 2,153,732.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.