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Finding the Third Proportional to 336,853.69 and 495,428.91

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Solution

The third proportional to 336,853.69 and 495,428.91 is: 728,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,853.69 : 495,428.91 = 495,428.91 : x
  2. Step 2: Convert to fraction form
    336,853.69/495,428.91 = 495,428.91/x
  3. Step 3: Cross multiply
    336,853.69x = 495,428.91 × 495,428.91
  4. Step 4: Simplify right side
    336,853.69x = 245,449,801,148.07
  5. Step 5: Solve for x
    x = 245,449,801,148.07/336,853.69
  6. Step 6: Final answer
    x = 728,654.04

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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.