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Finding the Third Proportional to 434,071.31 and 934,812

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Solution

The third proportional to 434,071.31 and 934,812 is: 2,013,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,071.31 : 934,812 = 934,812 : x
  2. Step 2: Convert to fraction form
    434,071.31/934,812 = 934,812/x
  3. Step 3: Cross multiply
    434,071.31x = 934,812 × 934,812
  4. Step 4: Simplify right side
    434,071.31x = 873,873,475,344
  5. Step 5: Solve for x
    x = 873,873,475,344/434,071.31
  6. Step 6: Final answer
    x = 2,013,202.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.