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Finding the Third Proportional to 412,283.25 and 895,066.88

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Solution

The third proportional to 412,283.25 and 895,066.88 is: 1,943,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,283.25 : 895,066.88 = 895,066.88 : x
  2. Step 2: Convert to fraction form
    412,283.25/895,066.88 = 895,066.88/x
  3. Step 3: Cross multiply
    412,283.25x = 895,066.88 × 895,066.88
  4. Step 4: Simplify right side
    412,283.25x = 801,144,710,722.27
  5. Step 5: Solve for x
    x = 801,144,710,722.27/412,283.25
  6. Step 6: Final answer
    x = 1,943,190.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.