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Finding the Third Proportional to 513,580 and 739,766

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Solution

The third proportional to 513,580 and 739,766 is: 1,065,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,580 : 739,766 = 739,766 : x
  2. Step 2: Convert to fraction form
    513,580/739,766 = 739,766/x
  3. Step 3: Cross multiply
    513,580x = 739,766 × 739,766
  4. Step 4: Simplify right side
    513,580x = 547,253,734,756
  5. Step 5: Solve for x
    x = 547,253,734,756/513,580
  6. Step 6: Final answer
    x = 1,065,566.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.