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Finding the Third Proportional to 452,002.78 and 683,836.17

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Solution

The third proportional to 452,002.78 and 683,836.17 is: 1,034,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,002.78 : 683,836.17 = 683,836.17 : x
  2. Step 2: Convert to fraction form
    452,002.78/683,836.17 = 683,836.17/x
  3. Step 3: Cross multiply
    452,002.78x = 683,836.17 × 683,836.17
  4. Step 4: Simplify right side
    452,002.78x = 467,631,909,964.66
  5. Step 5: Solve for x
    x = 467,631,909,964.66/452,002.78
  6. Step 6: Final answer
    x = 1,034,577.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.