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Finding the Third Proportional to 522,659.25 and 736,043.63

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Solution

The third proportional to 522,659.25 and 736,043.63 is: 1,036,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,659.25 : 736,043.63 = 736,043.63 : x
  2. Step 2: Convert to fraction form
    522,659.25/736,043.63 = 736,043.63/x
  3. Step 3: Cross multiply
    522,659.25x = 736,043.63 × 736,043.63
  4. Step 4: Simplify right side
    522,659.25x = 541,760,217,903.14
  5. Step 5: Solve for x
    x = 541,760,217,903.14/522,659.25
  6. Step 6: Final answer
    x = 1,036,545.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.