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Finding the Third Proportional to 486,165.38 and 769,206.38

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Solution

The third proportional to 486,165.38 and 769,206.38 is: 1,217,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,165.38 : 769,206.38 = 769,206.38 : x
  2. Step 2: Convert to fraction form
    486,165.38/769,206.38 = 769,206.38/x
  3. Step 3: Cross multiply
    486,165.38x = 769,206.38 × 769,206.38
  4. Step 4: Simplify right side
    486,165.38x = 591,678,447,340.64
  5. Step 5: Solve for x
    x = 591,678,447,340.64/486,165.38
  6. Step 6: Final answer
    x = 1,217,031.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.