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Finding the Third Proportional to 202,944 and 440,471

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Solution

The third proportional to 202,944 and 440,471 is: 956,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,944 : 440,471 = 440,471 : x
  2. Step 2: Convert to fraction form
    202,944/440,471 = 440,471/x
  3. Step 3: Cross multiply
    202,944x = 440,471 × 440,471
  4. Step 4: Simplify right side
    202,944x = 194,014,701,841
  5. Step 5: Solve for x
    x = 194,014,701,841/202,944
  6. Step 6: Final answer
    x = 956,001.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.