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Finding the Third Proportional to 356,645 and 763,186

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Solution

The third proportional to 356,645 and 763,186 is: 1,633,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,645 : 763,186 = 763,186 : x
  2. Step 2: Convert to fraction form
    356,645/763,186 = 763,186/x
  3. Step 3: Cross multiply
    356,645x = 763,186 × 763,186
  4. Step 4: Simplify right side
    356,645x = 582,452,870,596
  5. Step 5: Solve for x
    x = 582,452,870,596/356,645
  6. Step 6: Final answer
    x = 1,633,144.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.