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Finding the Third Proportional to 482,642 and 634,683

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Solution

The third proportional to 482,642 and 634,683 is: 834,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,642 : 634,683 = 634,683 : x
  2. Step 2: Convert to fraction form
    482,642/634,683 = 634,683/x
  3. Step 3: Cross multiply
    482,642x = 634,683 × 634,683
  4. Step 4: Simplify right side
    482,642x = 402,822,510,489
  5. Step 5: Solve for x
    x = 402,822,510,489/482,642
  6. Step 6: Final answer
    x = 834,619.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.