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Finding the Third Proportional to 278,520 and 571,788

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Solution

The third proportional to 278,520 and 571,788 is: 1,173,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,520 : 571,788 = 571,788 : x
  2. Step 2: Convert to fraction form
    278,520/571,788 = 571,788/x
  3. Step 3: Cross multiply
    278,520x = 571,788 × 571,788
  4. Step 4: Simplify right side
    278,520x = 326,941,516,944
  5. Step 5: Solve for x
    x = 326,941,516,944/278,520
  6. Step 6: Final answer
    x = 1,173,852.93

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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.