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Finding the Third Proportional to 381,973.22 and 581,263.59

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Solution

The third proportional to 381,973.22 and 581,263.59 is: 884,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,973.22 : 581,263.59 = 581,263.59 : x
  2. Step 2: Convert to fraction form
    381,973.22/581,263.59 = 581,263.59/x
  3. Step 3: Cross multiply
    381,973.22x = 581,263.59 × 581,263.59
  4. Step 4: Simplify right side
    381,973.22x = 337,867,365,419.17
  5. Step 5: Solve for x
    x = 337,867,365,419.17/381,973.22
  6. Step 6: Final answer
    x = 884,531.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.