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Finding the Third Proportional to 210,872 and 328,404

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Solution

The third proportional to 210,872 and 328,404 is: 511,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872 : 328,404 = 328,404 : x
  2. Step 2: Convert to fraction form
    210,872/328,404 = 328,404/x
  3. Step 3: Cross multiply
    210,872x = 328,404 × 328,404
  4. Step 4: Simplify right side
    210,872x = 107,849,187,216
  5. Step 5: Solve for x
    x = 107,849,187,216/210,872
  6. Step 6: Final answer
    x = 511,443.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.