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Finding the Third Proportional to 260,128.65 and 567,527.61

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Solution

The third proportional to 260,128.65 and 567,527.61 is: 1,238,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,128.65 : 567,527.61 = 567,527.61 : x
  2. Step 2: Convert to fraction form
    260,128.65/567,527.61 = 567,527.61/x
  3. Step 3: Cross multiply
    260,128.65x = 567,527.61 × 567,527.61
  4. Step 4: Simplify right side
    260,128.65x = 322,087,585,186.03
  5. Step 5: Solve for x
    x = 322,087,585,186.03/260,128.65
  6. Step 6: Final answer
    x = 1,238,185.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.