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Finding the Third Proportional to 482,684 and 634,731

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Solution

The third proportional to 482,684 and 634,731 is: 834,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,684 : 634,731 = 634,731 : x
  2. Step 2: Convert to fraction form
    482,684/634,731 = 634,731/x
  3. Step 3: Cross multiply
    482,684x = 634,731 × 634,731
  4. Step 4: Simplify right side
    482,684x = 402,883,442,361
  5. Step 5: Solve for x
    x = 402,883,442,361/482,684
  6. Step 6: Final answer
    x = 834,673.29

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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.