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Finding the Third Proportional to 271,441.13 and 596,413.13

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Solution

The third proportional to 271,441.13 and 596,413.13 is: 1,310,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,441.13 : 596,413.13 = 596,413.13 : x
  2. Step 2: Convert to fraction form
    271,441.13/596,413.13 = 596,413.13/x
  3. Step 3: Cross multiply
    271,441.13x = 596,413.13 × 596,413.13
  4. Step 4: Simplify right side
    271,441.13x = 355,708,615,672.27
  5. Step 5: Solve for x
    x = 355,708,615,672.27/271,441.13
  6. Step 6: Final answer
    x = 1,310,444.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.