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Finding the Third Proportional to 452,607.75 and 683,523

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Solution

The third proportional to 452,607.75 and 683,523 is: 1,032,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,607.75 : 683,523 = 683,523 : x
  2. Step 2: Convert to fraction form
    452,607.75/683,523 = 683,523/x
  3. Step 3: Cross multiply
    452,607.75x = 683,523 × 683,523
  4. Step 4: Simplify right side
    452,607.75x = 467,203,691,529
  5. Step 5: Solve for x
    x = 467,203,691,529/452,607.75
  6. Step 6: Final answer
    x = 1,032,248.55

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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.