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Finding the Third Proportional to 278,010 and 595,386

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Solution

The third proportional to 278,010 and 595,386 is: 1,275,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,010 : 595,386 = 595,386 : x
  2. Step 2: Convert to fraction form
    278,010/595,386 = 595,386/x
  3. Step 3: Cross multiply
    278,010x = 595,386 × 595,386
  4. Step 4: Simplify right side
    278,010x = 354,484,488,996
  5. Step 5: Solve for x
    x = 354,484,488,996/278,010
  6. Step 6: Final answer
    x = 1,275,078.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.