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Finding the Third Proportional to 195,363 and 414,707

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Solution

The third proportional to 195,363 and 414,707 is: 880,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,363 : 414,707 = 414,707 : x
  2. Step 2: Convert to fraction form
    195,363/414,707 = 414,707/x
  3. Step 3: Cross multiply
    195,363x = 414,707 × 414,707
  4. Step 4: Simplify right side
    195,363x = 171,981,895,849
  5. Step 5: Solve for x
    x = 171,981,895,849/195,363
  6. Step 6: Final answer
    x = 880,319.69

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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.