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Finding the Third Proportional to 278,901 and 574,307

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Solution

The third proportional to 278,901 and 574,307 is: 1,182,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,901 : 574,307 = 574,307 : x
  2. Step 2: Convert to fraction form
    278,901/574,307 = 574,307/x
  3. Step 3: Cross multiply
    278,901x = 574,307 × 574,307
  4. Step 4: Simplify right side
    278,901x = 329,828,530,249
  5. Step 5: Solve for x
    x = 329,828,530,249/278,901
  6. Step 6: Final answer
    x = 1,182,600.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.