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Finding the Third Proportional to 260,799.75 and 553,584.38

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Solution

The third proportional to 260,799.75 and 553,584.38 is: 1,175,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,799.75 : 553,584.38 = 553,584.38 : x
  2. Step 2: Convert to fraction form
    260,799.75/553,584.38 = 553,584.38/x
  3. Step 3: Cross multiply
    260,799.75x = 553,584.38 × 553,584.38
  4. Step 4: Simplify right side
    260,799.75x = 306,455,660,244.14
  5. Step 5: Solve for x
    x = 306,455,660,244.14/260,799.75
  6. Step 6: Final answer
    x = 1,175,061.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.