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Finding the Third Proportional to 474,234 and 843,206

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Solution

The third proportional to 474,234 and 843,206 is: 1,499,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,234 : 843,206 = 843,206 : x
  2. Step 2: Convert to fraction form
    474,234/843,206 = 843,206/x
  3. Step 3: Cross multiply
    474,234x = 843,206 × 843,206
  4. Step 4: Simplify right side
    474,234x = 710,996,358,436
  5. Step 5: Solve for x
    x = 710,996,358,436/474,234
  6. Step 6: Final answer
    x = 1,499,252.18

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.