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Finding the Third Proportional to 560,159 and 861,004

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Solution

The third proportional to 560,159 and 861,004 is: 1,323,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,159 : 861,004 = 861,004 : x
  2. Step 2: Convert to fraction form
    560,159/861,004 = 861,004/x
  3. Step 3: Cross multiply
    560,159x = 861,004 × 861,004
  4. Step 4: Simplify right side
    560,159x = 741,327,888,016
  5. Step 5: Solve for x
    x = 741,327,888,016/560,159
  6. Step 6: Final answer
    x = 1,323,424.04

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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.