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Finding the Third Proportional to 202,294 and 441,452

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Solution

The third proportional to 202,294 and 441,452 is: 963,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294 : 441,452 = 441,452 : x
  2. Step 2: Convert to fraction form
    202,294/441,452 = 441,452/x
  3. Step 3: Cross multiply
    202,294x = 441,452 × 441,452
  4. Step 4: Simplify right side
    202,294x = 194,879,868,304
  5. Step 5: Solve for x
    x = 194,879,868,304/202,294
  6. Step 6: Final answer
    x = 963,349.72

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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.