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Finding the Third Proportional to 270,985 and 402,548

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Solution

The third proportional to 270,985 and 402,548 is: 597,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,985 : 402,548 = 402,548 : x
  2. Step 2: Convert to fraction form
    270,985/402,548 = 402,548/x
  3. Step 3: Cross multiply
    270,985x = 402,548 × 402,548
  4. Step 4: Simplify right side
    270,985x = 162,044,892,304
  5. Step 5: Solve for x
    x = 162,044,892,304/270,985
  6. Step 6: Final answer
    x = 597,984.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.