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Finding the Third Proportional to 619,390.13 and 872,253.56

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Solution

The third proportional to 619,390.13 and 872,253.56 is: 1,228,347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,390.13 : 872,253.56 = 872,253.56 : x
  2. Step 2: Convert to fraction form
    619,390.13/872,253.56 = 872,253.56/x
  3. Step 3: Cross multiply
    619,390.13x = 872,253.56 × 872,253.56
  4. Step 4: Simplify right side
    619,390.13x = 760,826,277,293.94
  5. Step 5: Solve for x
    x = 760,826,277,293.94/619,390.13
  6. Step 6: Final answer
    x = 1,228,347.44

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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.