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Finding the Third Proportional to 483,719 and 762,686

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Solution

The third proportional to 483,719 and 762,686 is: 1,202,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,719 : 762,686 = 762,686 : x
  2. Step 2: Convert to fraction form
    483,719/762,686 = 762,686/x
  3. Step 3: Cross multiply
    483,719x = 762,686 × 762,686
  4. Step 4: Simplify right side
    483,719x = 581,689,934,596
  5. Step 5: Solve for x
    x = 581,689,934,596/483,719
  6. Step 6: Final answer
    x = 1,202,536.87

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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.