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Finding the Third Proportional to 412,288.50 and 895,077.50

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Solution

The third proportional to 412,288.50 and 895,077.50 is: 1,943,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,288.50 : 895,077.50 = 895,077.50 : x
  2. Step 2: Convert to fraction form
    412,288.50/895,077.50 = 895,077.50/x
  3. Step 3: Cross multiply
    412,288.50x = 895,077.50 × 895,077.50
  4. Step 4: Simplify right side
    412,288.50x = 801,163,731,006.25
  5. Step 5: Solve for x
    x = 801,163,731,006.25/412,288.50
  6. Step 6: Final answer
    x = 1,943,211.44

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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.