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Finding the Third Proportional to 561,974 and 861,735

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Solution

The third proportional to 561,974 and 861,735 is: 1,321,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,974 : 861,735 = 861,735 : x
  2. Step 2: Convert to fraction form
    561,974/861,735 = 861,735/x
  3. Step 3: Cross multiply
    561,974x = 861,735 × 861,735
  4. Step 4: Simplify right side
    561,974x = 742,587,210,225
  5. Step 5: Solve for x
    x = 742,587,210,225/561,974
  6. Step 6: Final answer
    x = 1,321,390.69

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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.