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Finding the Third Proportional to 858,757.50 and 1,166,275.13

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Solution

The third proportional to 858,757.50 and 1,166,275.13 is: 1,583,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,757.50 : 1,166,275.13 = 1,166,275.13 : x
  2. Step 2: Convert to fraction form
    858,757.50/1,166,275.13 = 1,166,275.13/x
  3. Step 3: Cross multiply
    858,757.50x = 1,166,275.13 × 1,166,275.13
  4. Step 4: Simplify right side
    858,757.50x = 1,360,197,667,193.77
  5. Step 5: Solve for x
    x = 1,360,197,667,193.77/858,757.50
  6. Step 6: Final answer
    x = 1,583,913.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.