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Finding the Third Proportional to 441,294 and 661,348

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Solution

The third proportional to 441,294 and 661,348 is: 991,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,294 : 661,348 = 661,348 : x
  2. Step 2: Convert to fraction form
    441,294/661,348 = 661,348/x
  3. Step 3: Cross multiply
    441,294x = 661,348 × 661,348
  4. Step 4: Simplify right side
    441,294x = 437,381,177,104
  5. Step 5: Solve for x
    x = 437,381,177,104/441,294
  6. Step 6: Final answer
    x = 991,133.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.