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Finding the Third Proportional to 486,291 and 781,332

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Solution

The third proportional to 486,291 and 781,332 is: 1,255,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,291 : 781,332 = 781,332 : x
  2. Step 2: Convert to fraction form
    486,291/781,332 = 781,332/x
  3. Step 3: Cross multiply
    486,291x = 781,332 × 781,332
  4. Step 4: Simplify right side
    486,291x = 610,479,694,224
  5. Step 5: Solve for x
    x = 610,479,694,224/486,291
  6. Step 6: Final answer
    x = 1,255,379.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.