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Finding the Third Proportional to 514,707 and 742,536

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Solution

The third proportional to 514,707 and 742,536 is: 1,071,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,707 : 742,536 = 742,536 : x
  2. Step 2: Convert to fraction form
    514,707/742,536 = 742,536/x
  3. Step 3: Cross multiply
    514,707x = 742,536 × 742,536
  4. Step 4: Simplify right side
    514,707x = 551,359,711,296
  5. Step 5: Solve for x
    x = 551,359,711,296/514,707
  6. Step 6: Final answer
    x = 1,071,210.83

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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.