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Finding the Third Proportional to 370,026.38 and 809,253.75

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Solution

The third proportional to 370,026.38 and 809,253.75 is: 1,769,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,026.38 : 809,253.75 = 809,253.75 : x
  2. Step 2: Convert to fraction form
    370,026.38/809,253.75 = 809,253.75/x
  3. Step 3: Cross multiply
    370,026.38x = 809,253.75 × 809,253.75
  4. Step 4: Simplify right side
    370,026.38x = 654,891,631,889.06
  5. Step 5: Solve for x
    x = 654,891,631,889.06/370,026.38
  6. Step 6: Final answer
    x = 1,769,851.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.