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Finding the Third Proportional to 202,816 and 440,510

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Solution

The third proportional to 202,816 and 440,510 is: 956,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816 : 440,510 = 440,510 : x
  2. Step 2: Convert to fraction form
    202,816/440,510 = 440,510/x
  3. Step 3: Cross multiply
    202,816x = 440,510 × 440,510
  4. Step 4: Simplify right side
    202,816x = 194,049,060,100
  5. Step 5: Solve for x
    x = 194,049,060,100/202,816
  6. Step 6: Final answer
    x = 956,773.92

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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.