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Finding the Third Proportional to 732,564 and 1,145,724.75

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Solution

The third proportional to 732,564 and 1,145,724.75 is: 1,791,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,564 : 1,145,724.75 = 1,145,724.75 : x
  2. Step 2: Convert to fraction form
    732,564/1,145,724.75 = 1,145,724.75/x
  3. Step 3: Cross multiply
    732,564x = 1,145,724.75 × 1,145,724.75
  4. Step 4: Simplify right side
    732,564x = 1,312,685,202,762.56
  5. Step 5: Solve for x
    x = 1,312,685,202,762.56/732,564
  6. Step 6: Final answer
    x = 1,791,905.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.