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Finding the Third Proportional to 278,020 and 595,408

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Solution

The third proportional to 278,020 and 595,408 is: 1,275,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,020 : 595,408 = 595,408 : x
  2. Step 2: Convert to fraction form
    278,020/595,408 = 595,408/x
  3. Step 3: Cross multiply
    278,020x = 595,408 × 595,408
  4. Step 4: Simplify right side
    278,020x = 354,510,686,464
  5. Step 5: Solve for x
    x = 354,510,686,464/278,020
  6. Step 6: Final answer
    x = 1,275,126.56

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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.