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Finding the Third Proportional to 482,418.28 and 634,370.48

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Solution

The third proportional to 482,418.28 and 634,370.48 is: 834,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,418.28 : 634,370.48 = 634,370.48 : x
  2. Step 2: Convert to fraction form
    482,418.28/634,370.48 = 634,370.48/x
  3. Step 3: Cross multiply
    482,418.28x = 634,370.48 × 634,370.48
  4. Step 4: Simplify right side
    482,418.28x = 402,425,911,446.17
  5. Step 5: Solve for x
    x = 402,425,911,446.17/482,418.28
  6. Step 6: Final answer
    x = 834,184.62

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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.