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Finding the Third Proportional to 514,723 and 742,551

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Solution

The third proportional to 514,723 and 742,551 is: 1,071,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,723 : 742,551 = 742,551 : x
  2. Step 2: Convert to fraction form
    514,723/742,551 = 742,551/x
  3. Step 3: Cross multiply
    514,723x = 742,551 × 742,551
  4. Step 4: Simplify right side
    514,723x = 551,381,987,601
  5. Step 5: Solve for x
    x = 551,381,987,601/514,723
  6. Step 6: Final answer
    x = 1,071,220.81

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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.