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Finding the Third Proportional to 336,886.31 and 495,477.56

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Solution

The third proportional to 336,886.31 and 495,477.56 is: 728,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,886.31 : 495,477.56 = 495,477.56 : x
  2. Step 2: Convert to fraction form
    336,886.31/495,477.56 = 495,477.56/x
  3. Step 3: Cross multiply
    336,886.31x = 495,477.56 × 495,477.56
  4. Step 4: Simplify right side
    336,886.31x = 245,498,014,940.94
  5. Step 5: Solve for x
    x = 245,498,014,940.94/336,886.31
  6. Step 6: Final answer
    x = 728,726.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.