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Finding the Third Proportional to 486,267 and 781,299

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Solution

The third proportional to 486,267 and 781,299 is: 1,255,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,267 : 781,299 = 781,299 : x
  2. Step 2: Convert to fraction form
    486,267/781,299 = 781,299/x
  3. Step 3: Cross multiply
    486,267x = 781,299 × 781,299
  4. Step 4: Simplify right side
    486,267x = 610,428,127,401
  5. Step 5: Solve for x
    x = 610,428,127,401/486,267
  6. Step 6: Final answer
    x = 1,255,335.29

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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.