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Finding the Third Proportional to 560,558 and 861,573

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Solution

The third proportional to 560,558 and 861,573 is: 1,324,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,558 : 861,573 = 861,573 : x
  2. Step 2: Convert to fraction form
    560,558/861,573 = 861,573/x
  3. Step 3: Cross multiply
    560,558x = 861,573 × 861,573
  4. Step 4: Simplify right side
    560,558x = 742,308,034,329
  5. Step 5: Solve for x
    x = 742,308,034,329/560,558
  6. Step 6: Final answer
    x = 1,324,230.56

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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.