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Finding the Third Proportional to 207,446 and 452,433

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Solution

The third proportional to 207,446 and 452,433 is: 986,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,446 : 452,433 = 452,433 : x
  2. Step 2: Convert to fraction form
    207,446/452,433 = 452,433/x
  3. Step 3: Cross multiply
    207,446x = 452,433 × 452,433
  4. Step 4: Simplify right side
    207,446x = 204,695,619,489
  5. Step 5: Solve for x
    x = 204,695,619,489/207,446
  6. Step 6: Final answer
    x = 986,741.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.