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Finding the Third Proportional to 334,112 and 518,140

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Solution

The third proportional to 334,112 and 518,140 is: 803,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,112 : 518,140 = 518,140 : x
  2. Step 2: Convert to fraction form
    334,112/518,140 = 518,140/x
  3. Step 3: Cross multiply
    334,112x = 518,140 × 518,140
  4. Step 4: Simplify right side
    334,112x = 268,469,059,600
  5. Step 5: Solve for x
    x = 268,469,059,600/334,112
  6. Step 6: Final answer
    x = 803,530.13

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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.