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Finding the Third Proportional to 260,013.80 and 412,574.13

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Solution

The third proportional to 260,013.80 and 412,574.13 is: 654,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.80 : 412,574.13 = 412,574.13 : x
  2. Step 2: Convert to fraction form
    260,013.80/412,574.13 = 412,574.13/x
  3. Step 3: Cross multiply
    260,013.80x = 412,574.13 × 412,574.13
  4. Step 4: Simplify right side
    260,013.80x = 170,217,415,065.99
  5. Step 5: Solve for x
    x = 170,217,415,065.99/260,013.80
  6. Step 6: Final answer
    x = 654,647.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.