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Finding the Third Proportional to 328,951.13 and 495,855

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Solution

The third proportional to 328,951.13 and 495,855 is: 747,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,951.13 : 495,855 = 495,855 : x
  2. Step 2: Convert to fraction form
    328,951.13/495,855 = 495,855/x
  3. Step 3: Cross multiply
    328,951.13x = 495,855 × 495,855
  4. Step 4: Simplify right side
    328,951.13x = 245,872,181,025
  5. Step 5: Solve for x
    x = 245,872,181,025/328,951.13
  6. Step 6: Final answer
    x = 747,442.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.