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Finding the Third Proportional to 482,646 and 634,689

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Solution

The third proportional to 482,646 and 634,689 is: 834,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,646 : 634,689 = 634,689 : x
  2. Step 2: Convert to fraction form
    482,646/634,689 = 634,689/x
  3. Step 3: Cross multiply
    482,646x = 634,689 × 634,689
  4. Step 4: Simplify right side
    482,646x = 402,830,126,721
  5. Step 5: Solve for x
    x = 402,830,126,721/482,646
  6. Step 6: Final answer
    x = 834,628.54

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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.