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Finding the Third Proportional to 560,562 and 861,579

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Solution

The third proportional to 560,562 and 861,579 is: 1,324,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,562 : 861,579 = 861,579 : x
  2. Step 2: Convert to fraction form
    560,562/861,579 = 861,579/x
  3. Step 3: Cross multiply
    560,562x = 861,579 × 861,579
  4. Step 4: Simplify right side
    560,562x = 742,318,373,241
  5. Step 5: Solve for x
    x = 742,318,373,241/560,562
  6. Step 6: Final answer
    x = 1,324,239.55

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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.