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Finding the Third Proportional to 410,079.38 and 883,021.50

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Solution

The third proportional to 410,079.38 and 883,021.50 is: 1,901,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,079.38 : 883,021.50 = 883,021.50 : x
  2. Step 2: Convert to fraction form
    410,079.38/883,021.50 = 883,021.50/x
  3. Step 3: Cross multiply
    410,079.38x = 883,021.50 × 883,021.50
  4. Step 4: Simplify right side
    410,079.38x = 779,726,969,462.25
  5. Step 5: Solve for x
    x = 779,726,969,462.25/410,079.38
  6. Step 6: Final answer
    x = 1,901,404.99

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