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Finding the Third Proportional to 207,331 and 435,546

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Solution

The third proportional to 207,331 and 435,546 is: 914,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,331 : 435,546 = 435,546 : x
  2. Step 2: Convert to fraction form
    207,331/435,546 = 435,546/x
  3. Step 3: Cross multiply
    207,331x = 435,546 × 435,546
  4. Step 4: Simplify right side
    207,331x = 189,700,318,116
  5. Step 5: Solve for x
    x = 189,700,318,116/207,331
  6. Step 6: Final answer
    x = 914,963.60

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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.