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Finding the Third Proportional to 482,420 and 634,373

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Solution

The third proportional to 482,420 and 634,373 is: 834,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,420 : 634,373 = 634,373 : x
  2. Step 2: Convert to fraction form
    482,420/634,373 = 634,373/x
  3. Step 3: Cross multiply
    482,420x = 634,373 × 634,373
  4. Step 4: Simplify right side
    482,420x = 402,429,103,129
  5. Step 5: Solve for x
    x = 402,429,103,129/482,420
  6. Step 6: Final answer
    x = 834,188.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.