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Finding the Third Proportional to 347,921.63 and 538,716.75

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Solution

The third proportional to 347,921.63 and 538,716.75 is: 834,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,921.63 : 538,716.75 = 538,716.75 : x
  2. Step 2: Convert to fraction form
    347,921.63/538,716.75 = 538,716.75/x
  3. Step 3: Cross multiply
    347,921.63x = 538,716.75 × 538,716.75
  4. Step 4: Simplify right side
    347,921.63x = 290,215,736,730.56
  5. Step 5: Solve for x
    x = 290,215,736,730.56/347,921.63
  6. Step 6: Final answer
    x = 834,141.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.