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Finding the Third Proportional to 619,238.25 and 872,025.75

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Solution

The third proportional to 619,238.25 and 872,025.75 is: 1,228,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,238.25 : 872,025.75 = 872,025.75 : x
  2. Step 2: Convert to fraction form
    619,238.25/872,025.75 = 872,025.75/x
  3. Step 3: Cross multiply
    619,238.25x = 872,025.75 × 872,025.75
  4. Step 4: Simplify right side
    619,238.25x = 760,428,908,663.06
  5. Step 5: Solve for x
    x = 760,428,908,663.06/619,238.25
  6. Step 6: Final answer
    x = 1,228,007.00

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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.