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Finding the Third Proportional to 351,864 and 753,548

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Solution

The third proportional to 351,864 and 753,548 is: 1,613,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,864 : 753,548 = 753,548 : x
  2. Step 2: Convert to fraction form
    351,864/753,548 = 753,548/x
  3. Step 3: Cross multiply
    351,864x = 753,548 × 753,548
  4. Step 4: Simplify right side
    351,864x = 567,834,588,304
  5. Step 5: Solve for x
    x = 567,834,588,304/351,864
  6. Step 6: Final answer
    x = 1,613,789.95

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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.