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Finding the Third Proportional to 278,919 and 572,539.50

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Solution

The third proportional to 278,919 and 572,539.50 is: 1,175,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919 : 572,539.50 = 572,539.50 : x
  2. Step 2: Convert to fraction form
    278,919/572,539.50 = 572,539.50/x
  3. Step 3: Cross multiply
    278,919x = 572,539.50 × 572,539.50
  4. Step 4: Simplify right side
    278,919x = 327,801,479,060.25
  5. Step 5: Solve for x
    x = 327,801,479,060.25/278,919
  6. Step 6: Final answer
    x = 1,175,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.