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Finding the Third Proportional to 278,500 and 571,748

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Solution

The third proportional to 278,500 and 571,748 is: 1,173,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,500 : 571,748 = 571,748 : x
  2. Step 2: Convert to fraction form
    278,500/571,748 = 571,748/x
  3. Step 3: Cross multiply
    278,500x = 571,748 × 571,748
  4. Step 4: Simplify right side
    278,500x = 326,895,775,504
  5. Step 5: Solve for x
    x = 326,895,775,504/278,500
  6. Step 6: Final answer
    x = 1,173,772.98

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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.