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Finding the Third Proportional to 588,806.50 and 1,275,431

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Solution

The third proportional to 588,806.50 and 1,275,431 is: 2,762,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,806.50 : 1,275,431 = 1,275,431 : x
  2. Step 2: Convert to fraction form
    588,806.50/1,275,431 = 1,275,431/x
  3. Step 3: Cross multiply
    588,806.50x = 1,275,431 × 1,275,431
  4. Step 4: Simplify right side
    588,806.50x = 1,626,724,235,761
  5. Step 5: Solve for x
    x = 1,626,724,235,761/588,806.50
  6. Step 6: Final answer
    x = 2,762,748.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.