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Finding the Third Proportional to 347,870 and 755,226

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Solution

The third proportional to 347,870 and 755,226 is: 1,639,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,870 : 755,226 = 755,226 : x
  2. Step 2: Convert to fraction form
    347,870/755,226 = 755,226/x
  3. Step 3: Cross multiply
    347,870x = 755,226 × 755,226
  4. Step 4: Simplify right side
    347,870x = 570,366,311,076
  5. Step 5: Solve for x
    x = 570,366,311,076/347,870
  6. Step 6: Final answer
    x = 1,639,596.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.