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Finding the Third Proportional to 482,657 and 634,696

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Solution

The third proportional to 482,657 and 634,696 is: 834,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,657 : 634,696 = 634,696 : x
  2. Step 2: Convert to fraction form
    482,657/634,696 = 634,696/x
  3. Step 3: Cross multiply
    482,657x = 634,696 × 634,696
  4. Step 4: Simplify right side
    482,657x = 402,839,012,416
  5. Step 5: Solve for x
    x = 402,839,012,416/482,657
  6. Step 6: Final answer
    x = 834,627.93

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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.