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Finding the Third Proportional to 412,352 and 638,481

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Solution

The third proportional to 412,352 and 638,481 is: 988,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,352 : 638,481 = 638,481 : x
  2. Step 2: Convert to fraction form
    412,352/638,481 = 638,481/x
  3. Step 3: Cross multiply
    412,352x = 638,481 × 638,481
  4. Step 4: Simplify right side
    412,352x = 407,657,987,361
  5. Step 5: Solve for x
    x = 407,657,987,361/412,352
  6. Step 6: Final answer
    x = 988,616.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.