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Finding the Third Proportional to 278,144 and 571,033

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Solution

The third proportional to 278,144 and 571,033 is: 1,172,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,144 : 571,033 = 571,033 : x
  2. Step 2: Convert to fraction form
    278,144/571,033 = 571,033/x
  3. Step 3: Cross multiply
    278,144x = 571,033 × 571,033
  4. Step 4: Simplify right side
    278,144x = 326,078,687,089
  5. Step 5: Solve for x
    x = 326,078,687,089/278,144
  6. Step 6: Final answer
    x = 1,172,337.66

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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.