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Finding the Third Proportional to 360,866 and 558,704

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Solution

The third proportional to 360,866 and 558,704 is: 865,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,866 : 558,704 = 558,704 : x
  2. Step 2: Convert to fraction form
    360,866/558,704 = 558,704/x
  3. Step 3: Cross multiply
    360,866x = 558,704 × 558,704
  4. Step 4: Simplify right side
    360,866x = 312,150,159,616
  5. Step 5: Solve for x
    x = 312,150,159,616/360,866
  6. Step 6: Final answer
    x = 865,002.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.