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Finding the Third Proportional to 205,473 and 441,501

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Solution

The third proportional to 205,473 and 441,501 is: 948,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,473 : 441,501 = 441,501 : x
  2. Step 2: Convert to fraction form
    205,473/441,501 = 441,501/x
  3. Step 3: Cross multiply
    205,473x = 441,501 × 441,501
  4. Step 4: Simplify right side
    205,473x = 194,923,133,001
  5. Step 5: Solve for x
    x = 194,923,133,001/205,473
  6. Step 6: Final answer
    x = 948,655.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.