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Finding the Third Proportional to 278,035 and 595,438

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Solution

The third proportional to 278,035 and 595,438 is: 1,275,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,035 : 595,438 = 595,438 : x
  2. Step 2: Convert to fraction form
    278,035/595,438 = 595,438/x
  3. Step 3: Cross multiply
    278,035x = 595,438 × 595,438
  4. Step 4: Simplify right side
    278,035x = 354,546,411,844
  5. Step 5: Solve for x
    x = 354,546,411,844/278,035
  6. Step 6: Final answer
    x = 1,275,186.26

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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.