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Finding the Third Proportional to 641,535.75 and 896,908.50

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Solution

The third proportional to 641,535.75 and 896,908.50 is: 1,253,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,535.75 : 896,908.50 = 896,908.50 : x
  2. Step 2: Convert to fraction form
    641,535.75/896,908.50 = 896,908.50/x
  3. Step 3: Cross multiply
    641,535.75x = 896,908.50 × 896,908.50
  4. Step 4: Simplify right side
    641,535.75x = 804,444,857,372.25
  5. Step 5: Solve for x
    x = 804,444,857,372.25/641,535.75
  6. Step 6: Final answer
    x = 1,253,936.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.