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Finding the Third Proportional to 415,729.13 and 895,504.50

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Solution

The third proportional to 415,729.13 and 895,504.50 is: 1,928,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,729.13 : 895,504.50 = 895,504.50 : x
  2. Step 2: Convert to fraction form
    415,729.13/895,504.50 = 895,504.50/x
  3. Step 3: Cross multiply
    415,729.13x = 895,504.50 × 895,504.50
  4. Step 4: Simplify right side
    415,729.13x = 801,928,309,520.25
  5. Step 5: Solve for x
    x = 801,928,309,520.25/415,729.13
  6. Step 6: Final answer
    x = 1,928,968.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.