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Finding the Third Proportional to 366,854 and 482,411

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Solution

The third proportional to 366,854 and 482,411 is: 634,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,854 : 482,411 = 482,411 : x
  2. Step 2: Convert to fraction form
    366,854/482,411 = 482,411/x
  3. Step 3: Cross multiply
    366,854x = 482,411 × 482,411
  4. Step 4: Simplify right side
    366,854x = 232,720,372,921
  5. Step 5: Solve for x
    x = 232,720,372,921/366,854
  6. Step 6: Final answer
    x = 634,367.82

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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.