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Finding the Third Proportional to 560,160 and 861,006

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Solution

The third proportional to 560,160 and 861,006 is: 1,323,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,160 : 861,006 = 861,006 : x
  2. Step 2: Convert to fraction form
    560,160/861,006 = 861,006/x
  3. Step 3: Cross multiply
    560,160x = 861,006 × 861,006
  4. Step 4: Simplify right side
    560,160x = 741,331,332,036
  5. Step 5: Solve for x
    x = 741,331,332,036/560,160
  6. Step 6: Final answer
    x = 1,323,427.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.