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Finding the Third Proportional to 435,313.50 and 914,691

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Solution

The third proportional to 435,313.50 and 914,691 is: 1,921,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,313.50 : 914,691 = 914,691 : x
  2. Step 2: Convert to fraction form
    435,313.50/914,691 = 914,691/x
  3. Step 3: Cross multiply
    435,313.50x = 914,691 × 914,691
  4. Step 4: Simplify right side
    435,313.50x = 836,659,625,481
  5. Step 5: Solve for x
    x = 836,659,625,481/435,313.50
  6. Step 6: Final answer
    x = 1,921,970.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.