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Finding the Third Proportional to 366,859 and 482,417

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Solution

The third proportional to 366,859 and 482,417 is: 634,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,859 : 482,417 = 482,417 : x
  2. Step 2: Convert to fraction form
    366,859/482,417 = 482,417/x
  3. Step 3: Cross multiply
    366,859x = 482,417 × 482,417
  4. Step 4: Simplify right side
    366,859x = 232,726,161,889
  5. Step 5: Solve for x
    x = 232,726,161,889/366,859
  6. Step 6: Final answer
    x = 634,374.96

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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.