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Finding the Third Proportional to 238,470 and 518,355.50

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Solution

The third proportional to 238,470 and 518,355.50 is: 1,126,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,470 : 518,355.50 = 518,355.50 : x
  2. Step 2: Convert to fraction form
    238,470/518,355.50 = 518,355.50/x
  3. Step 3: Cross multiply
    238,470x = 518,355.50 × 518,355.50
  4. Step 4: Simplify right side
    238,470x = 268,692,424,380.25
  5. Step 5: Solve for x
    x = 268,692,424,380.25/238,470
  6. Step 6: Final answer
    x = 1,126,734.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.