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Finding the Third Proportional to 366,315.75 and 567,145.13

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Solution

The third proportional to 366,315.75 and 567,145.13 is: 878,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,315.75 : 567,145.13 = 567,145.13 : x
  2. Step 2: Convert to fraction form
    366,315.75/567,145.13 = 567,145.13/x
  3. Step 3: Cross multiply
    366,315.75x = 567,145.13 × 567,145.13
  4. Step 4: Simplify right side
    366,315.75x = 321,653,592,811.27
  5. Step 5: Solve for x
    x = 321,653,592,811.27/366,315.75
  6. Step 6: Final answer
    x = 878,077.43

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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.