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Finding the Third Proportional to 560,500 and 853,710

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Solution

The third proportional to 560,500 and 853,710 is: 1,300,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,500 : 853,710 = 853,710 : x
  2. Step 2: Convert to fraction form
    560,500/853,710 = 853,710/x
  3. Step 3: Cross multiply
    560,500x = 853,710 × 853,710
  4. Step 4: Simplify right side
    560,500x = 728,820,764,100
  5. Step 5: Solve for x
    x = 728,820,764,100/560,500
  6. Step 6: Final answer
    x = 1,300,304.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.