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Finding the Third Proportional to 491,427 and 763,384.50

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Solution

The third proportional to 491,427 and 763,384.50 is: 1,185,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,427 : 763,384.50 = 763,384.50 : x
  2. Step 2: Convert to fraction form
    491,427/763,384.50 = 763,384.50/x
  3. Step 3: Cross multiply
    491,427x = 763,384.50 × 763,384.50
  4. Step 4: Simplify right side
    491,427x = 582,755,894,840.25
  5. Step 5: Solve for x
    x = 582,755,894,840.25/491,427
  6. Step 6: Final answer
    x = 1,185,844.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.