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Finding the Third Proportional to 247,482.38 and 382,576.13

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Solution

The third proportional to 247,482.38 and 382,576.13 is: 591,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,482.38 : 382,576.13 = 382,576.13 : x
  2. Step 2: Convert to fraction form
    247,482.38/382,576.13 = 382,576.13/x
  3. Step 3: Cross multiply
    247,482.38x = 382,576.13 × 382,576.13
  4. Step 4: Simplify right side
    247,482.38x = 146,364,491,420.02
  5. Step 5: Solve for x
    x = 146,364,491,420.02/247,482.38
  6. Step 6: Final answer
    x = 591,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.