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Finding the Third Proportional to 491,273 and 781,197

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Solution

The third proportional to 491,273 and 781,197 is: 1,242,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,273 : 781,197 = 781,197 : x
  2. Step 2: Convert to fraction form
    491,273/781,197 = 781,197/x
  3. Step 3: Cross multiply
    491,273x = 781,197 × 781,197
  4. Step 4: Simplify right side
    491,273x = 610,268,752,809
  5. Step 5: Solve for x
    x = 610,268,752,809/491,273
  6. Step 6: Final answer
    x = 1,242,219.20

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