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Finding the Third Proportional to 278,307 and 416,733

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Solution

The third proportional to 278,307 and 416,733 is: 624,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,307 : 416,733 = 416,733 : x
  2. Step 2: Convert to fraction form
    278,307/416,733 = 416,733/x
  3. Step 3: Cross multiply
    278,307x = 416,733 × 416,733
  4. Step 4: Simplify right side
    278,307x = 173,666,393,289
  5. Step 5: Solve for x
    x = 173,666,393,289/278,307
  6. Step 6: Final answer
    x = 624,010.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.