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Finding the Third Proportional to 278,033 and 595,434

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Solution

The third proportional to 278,033 and 595,434 is: 1,275,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,033 : 595,434 = 595,434 : x
  2. Step 2: Convert to fraction form
    278,033/595,434 = 595,434/x
  3. Step 3: Cross multiply
    278,033x = 595,434 × 595,434
  4. Step 4: Simplify right side
    278,033x = 354,541,648,356
  5. Step 5: Solve for x
    x = 354,541,648,356/278,033
  6. Step 6: Final answer
    x = 1,275,178.30

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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.