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Finding the Third Proportional to 560,502 and 853,713

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Solution

The third proportional to 560,502 and 853,713 is: 1,300,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,502 : 853,713 = 853,713 : x
  2. Step 2: Convert to fraction form
    560,502/853,713 = 853,713/x
  3. Step 3: Cross multiply
    560,502x = 853,713 × 853,713
  4. Step 4: Simplify right side
    560,502x = 728,825,886,369
  5. Step 5: Solve for x
    x = 728,825,886,369/560,502
  6. Step 6: Final answer
    x = 1,300,309.16

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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.