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Finding the Third Proportional to 466,972.88 and 683,805.38

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Solution

The third proportional to 466,972.88 and 683,805.38 is: 1,001,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,972.88 : 683,805.38 = 683,805.38 : x
  2. Step 2: Convert to fraction form
    466,972.88/683,805.38 = 683,805.38/x
  3. Step 3: Cross multiply
    466,972.88x = 683,805.38 × 683,805.38
  4. Step 4: Simplify right side
    466,972.88x = 467,589,790,878.89
  5. Step 5: Solve for x
    x = 467,589,790,878.89/466,972.88
  6. Step 6: Final answer
    x = 1,001,321.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.