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Finding the Third Proportional to 328,657.13 and 495,148.88

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Solution

The third proportional to 328,657.13 and 495,148.88 is: 745,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,657.13 : 495,148.88 = 495,148.88 : x
  2. Step 2: Convert to fraction form
    328,657.13/495,148.88 = 495,148.88/x
  3. Step 3: Cross multiply
    328,657.13x = 495,148.88 × 495,148.88
  4. Step 4: Simplify right side
    328,657.13x = 245,172,408,413.77
  5. Step 5: Solve for x
    x = 245,172,408,413.77/328,657.13
  6. Step 6: Final answer
    x = 745,982.33

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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.