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Finding the Third Proportional to 482,674 and 634,716

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Solution

The third proportional to 482,674 and 634,716 is: 834,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,674 : 634,716 = 634,716 : x
  2. Step 2: Convert to fraction form
    482,674/634,716 = 634,716/x
  3. Step 3: Cross multiply
    482,674x = 634,716 × 634,716
  4. Step 4: Simplify right side
    482,674x = 402,864,400,656
  5. Step 5: Solve for x
    x = 402,864,400,656/482,674
  6. Step 6: Final answer
    x = 834,651.13

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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.