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Finding the Third Proportional to 397,282.50 and 868,837.50

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Solution

The third proportional to 397,282.50 and 868,837.50 is: 1,900,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,282.50 : 868,837.50 = 868,837.50 : x
  2. Step 2: Convert to fraction form
    397,282.50/868,837.50 = 868,837.50/x
  3. Step 3: Cross multiply
    397,282.50x = 868,837.50 × 868,837.50
  4. Step 4: Simplify right side
    397,282.50x = 754,878,601,406.25
  5. Step 5: Solve for x
    x = 754,878,601,406.25/397,282.50
  6. Step 6: Final answer
    x = 1,900,105.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.