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Finding the Third Proportional to 461.95 and 939.09

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Solution

The third proportional to 461.95 and 939.09 is: 1,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 939.09 = 939.09 : x
  2. Step 2: Convert to fraction form
    461.95/939.09 = 939.09/x
  3. Step 3: Cross multiply
    461.95x = 939.09 × 939.09
  4. Step 4: Simplify right side
    461.95x = 881,897.07
  5. Step 5: Solve for x
    x = 881,897.07/461.95
  6. Step 6: Final answer
    x = 1,909.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.