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Finding the Third Proportional to 370,230.75 and 787,169.25

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Solution

The third proportional to 370,230.75 and 787,169.25 is: 1,673,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,230.75 : 787,169.25 = 787,169.25 : x
  2. Step 2: Convert to fraction form
    370,230.75/787,169.25 = 787,169.25/x
  3. Step 3: Cross multiply
    370,230.75x = 787,169.25 × 787,169.25
  4. Step 4: Simplify right side
    370,230.75x = 619,635,428,145.56
  5. Step 5: Solve for x
    x = 619,635,428,145.56/370,230.75
  6. Step 6: Final answer
    x = 1,673,646.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.