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Finding the Third Proportional to 382,192 and 817,952

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Solution

The third proportional to 382,192 and 817,952 is: 1,750,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,192 : 817,952 = 817,952 : x
  2. Step 2: Convert to fraction form
    382,192/817,952 = 817,952/x
  3. Step 3: Cross multiply
    382,192x = 817,952 × 817,952
  4. Step 4: Simplify right side
    382,192x = 669,045,474,304
  5. Step 5: Solve for x
    x = 669,045,474,304/382,192
  6. Step 6: Final answer
    x = 1,750,548.09

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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.