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Finding the Third Proportional to 410,896.50 and 896,535

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Solution

The third proportional to 410,896.50 and 896,535 is: 1,956,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,896.50 : 896,535 = 896,535 : x
  2. Step 2: Convert to fraction form
    410,896.50/896,535 = 896,535/x
  3. Step 3: Cross multiply
    410,896.50x = 896,535 × 896,535
  4. Step 4: Simplify right side
    410,896.50x = 803,775,006,225
  5. Step 5: Solve for x
    x = 803,775,006,225/410,896.50
  6. Step 6: Final answer
    x = 1,956,149.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.