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Finding the Third Proportional to 327,447.56 and 489,148.88

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Solution

The third proportional to 327,447.56 and 489,148.88 is: 730,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,447.56 : 489,148.88 = 489,148.88 : x
  2. Step 2: Convert to fraction form
    327,447.56/489,148.88 = 489,148.88/x
  3. Step 3: Cross multiply
    327,447.56x = 489,148.88 × 489,148.88
  4. Step 4: Simplify right side
    327,447.56x = 239,266,621,913.77
  5. Step 5: Solve for x
    x = 239,266,621,913.77/327,447.56
  6. Step 6: Final answer
    x = 730,702.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.