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Finding the Third Proportional to 278,300 and 595,952

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Solution

The third proportional to 278,300 and 595,952 is: 1,276,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,300 : 595,952 = 595,952 : x
  2. Step 2: Convert to fraction form
    278,300/595,952 = 595,952/x
  3. Step 3: Cross multiply
    278,300x = 595,952 × 595,952
  4. Step 4: Simplify right side
    278,300x = 355,158,786,304
  5. Step 5: Solve for x
    x = 355,158,786,304/278,300
  6. Step 6: Final answer
    x = 1,276,172.43

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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.