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Finding the Third Proportional to 452,649 and 683,586

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Solution

The third proportional to 452,649 and 683,586 is: 1,032,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,649 : 683,586 = 683,586 : x
  2. Step 2: Convert to fraction form
    452,649/683,586 = 683,586/x
  3. Step 3: Cross multiply
    452,649x = 683,586 × 683,586
  4. Step 4: Simplify right side
    452,649x = 467,289,819,396
  5. Step 5: Solve for x
    x = 467,289,819,396/452,649
  6. Step 6: Final answer
    x = 1,032,344.75

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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.