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Finding the Third Proportional to 370,199.25 and 541,275.75

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Solution

The third proportional to 370,199.25 and 541,275.75 is: 791,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,199.25 : 541,275.75 = 541,275.75 : x
  2. Step 2: Convert to fraction form
    370,199.25/541,275.75 = 541,275.75/x
  3. Step 3: Cross multiply
    370,199.25x = 541,275.75 × 541,275.75
  4. Step 4: Simplify right side
    370,199.25x = 292,979,437,538.06
  5. Step 5: Solve for x
    x = 292,979,437,538.06/370,199.25
  6. Step 6: Final answer
    x = 791,410.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.