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Finding the Third Proportional to 514,727 and 742,557

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Solution

The third proportional to 514,727 and 742,557 is: 1,071,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,727 : 742,557 = 742,557 : x
  2. Step 2: Convert to fraction form
    514,727/742,557 = 742,557/x
  3. Step 3: Cross multiply
    514,727x = 742,557 × 742,557
  4. Step 4: Simplify right side
    514,727x = 551,390,898,249
  5. Step 5: Solve for x
    x = 551,390,898,249/514,727
  6. Step 6: Final answer
    x = 1,071,229.79

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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.