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Finding the Third Proportional to 202,949.25 and 440,484

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Solution

The third proportional to 202,949.25 and 440,484 is: 956,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,949.25 : 440,484 = 440,484 : x
  2. Step 2: Convert to fraction form
    202,949.25/440,484 = 440,484/x
  3. Step 3: Cross multiply
    202,949.25x = 440,484 × 440,484
  4. Step 4: Simplify right side
    202,949.25x = 194,026,154,256
  5. Step 5: Solve for x
    x = 194,026,154,256/202,949.25
  6. Step 6: Final answer
    x = 956,032.87

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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.