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Finding the Third Proportional to 369,657 and 752,713

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Solution

The third proportional to 369,657 and 752,713 is: 1,532,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,657 : 752,713 = 752,713 : x
  2. Step 2: Convert to fraction form
    369,657/752,713 = 752,713/x
  3. Step 3: Cross multiply
    369,657x = 752,713 × 752,713
  4. Step 4: Simplify right side
    369,657x = 566,576,860,369
  5. Step 5: Solve for x
    x = 566,576,860,369/369,657
  6. Step 6: Final answer
    x = 1,532,709.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.