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Finding the Third Proportional to 561,972 and 861,732

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Solution

The third proportional to 561,972 and 861,732 is: 1,321,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,972 : 861,732 = 861,732 : x
  2. Step 2: Convert to fraction form
    561,972/861,732 = 861,732/x
  3. Step 3: Cross multiply
    561,972x = 861,732 × 861,732
  4. Step 4: Simplify right side
    561,972x = 742,582,039,824
  5. Step 5: Solve for x
    x = 742,582,039,824/561,972
  6. Step 6: Final answer
    x = 1,321,386.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.