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Finding the Third Proportional to 202,362 and 440,423

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Solution

The third proportional to 202,362 and 440,423 is: 958,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362 : 440,423 = 440,423 : x
  2. Step 2: Convert to fraction form
    202,362/440,423 = 440,423/x
  3. Step 3: Cross multiply
    202,362x = 440,423 × 440,423
  4. Step 4: Simplify right side
    202,362x = 193,972,418,929
  5. Step 5: Solve for x
    x = 193,972,418,929/202,362
  6. Step 6: Final answer
    x = 958,541.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.