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Finding the Third Proportional to 414,514.13 and 860,186.25

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Solution

The third proportional to 414,514.13 and 860,186.25 is: 1,785,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,514.13 : 860,186.25 = 860,186.25 : x
  2. Step 2: Convert to fraction form
    414,514.13/860,186.25 = 860,186.25/x
  3. Step 3: Cross multiply
    414,514.13x = 860,186.25 × 860,186.25
  4. Step 4: Simplify right side
    414,514.13x = 739,920,384,689.06
  5. Step 5: Solve for x
    x = 739,920,384,689.06/414,514.13
  6. Step 6: Final answer
    x = 1,785,030.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.