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Finding the Third Proportional to 514,732 and 742,564

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Solution

The third proportional to 514,732 and 742,564 is: 1,071,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,732 : 742,564 = 742,564 : x
  2. Step 2: Convert to fraction form
    514,732/742,564 = 742,564/x
  3. Step 3: Cross multiply
    514,732x = 742,564 × 742,564
  4. Step 4: Simplify right side
    514,732x = 551,401,294,096
  5. Step 5: Solve for x
    x = 551,401,294,096/514,732
  6. Step 6: Final answer
    x = 1,071,239.59

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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.