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Finding the Third Proportional to 523,158.75 and 740,476.69

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Solution

The third proportional to 523,158.75 and 740,476.69 is: 1,048,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,158.75 : 740,476.69 = 740,476.69 : x
  2. Step 2: Convert to fraction form
    523,158.75/740,476.69 = 740,476.69/x
  3. Step 3: Cross multiply
    523,158.75x = 740,476.69 × 740,476.69
  4. Step 4: Simplify right side
    523,158.75x = 548,305,724,730.97
  5. Step 5: Solve for x
    x = 548,305,724,730.97/523,158.75
  6. Step 6: Final answer
    x = 1,048,067.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.