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Finding the Third Proportional to 491,598 and 781,677

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Solution

The third proportional to 491,598 and 781,677 is: 1,242,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,598 : 781,677 = 781,677 : x
  2. Step 2: Convert to fraction form
    491,598/781,677 = 781,677/x
  3. Step 3: Cross multiply
    491,598x = 781,677 × 781,677
  4. Step 4: Simplify right side
    491,598x = 611,018,932,329
  5. Step 5: Solve for x
    x = 611,018,932,329/491,598
  6. Step 6: Final answer
    x = 1,242,923.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.