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Finding the Third Proportional to 415,936.50 and 851,541

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Solution

The third proportional to 415,936.50 and 851,541 is: 1,743,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,936.50 : 851,541 = 851,541 : x
  2. Step 2: Convert to fraction form
    415,936.50/851,541 = 851,541/x
  3. Step 3: Cross multiply
    415,936.50x = 851,541 × 851,541
  4. Step 4: Simplify right side
    415,936.50x = 725,122,074,681
  5. Step 5: Solve for x
    x = 725,122,074,681/415,936.50
  6. Step 6: Final answer
    x = 1,743,348.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.