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Finding the Third Proportional to 514,707 and 742,533

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Solution

The third proportional to 514,707 and 742,533 is: 1,071,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,707 : 742,533 = 742,533 : x
  2. Step 2: Convert to fraction form
    514,707/742,533 = 742,533/x
  3. Step 3: Cross multiply
    514,707x = 742,533 × 742,533
  4. Step 4: Simplify right side
    514,707x = 551,355,256,089
  5. Step 5: Solve for x
    x = 551,355,256,089/514,707
  6. Step 6: Final answer
    x = 1,071,202.17

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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.