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Finding the Third Proportional to 294,232.31 and 454,656.56

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Solution

The third proportional to 294,232.31 and 454,656.56 is: 702,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,232.31 : 454,656.56 = 454,656.56 : x
  2. Step 2: Convert to fraction form
    294,232.31/454,656.56 = 454,656.56/x
  3. Step 3: Cross multiply
    294,232.31x = 454,656.56 × 454,656.56
  4. Step 4: Simplify right side
    294,232.31x = 206,712,589,824.32
  5. Step 5: Solve for x
    x = 206,712,589,824.32/294,232.31
  6. Step 6: Final answer
    x = 702,548.91

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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.