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Finding the Third Proportional to 514,750 and 742,591

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Solution

The third proportional to 514,750 and 742,591 is: 1,071,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,750 : 742,591 = 742,591 : x
  2. Step 2: Convert to fraction form
    514,750/742,591 = 742,591/x
  3. Step 3: Cross multiply
    514,750x = 742,591 × 742,591
  4. Step 4: Simplify right side
    514,750x = 551,441,393,281
  5. Step 5: Solve for x
    x = 551,441,393,281/514,750
  6. Step 6: Final answer
    x = 1,071,280.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.