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Finding the Third Proportional to 207,234 and 442,908

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Solution

The third proportional to 207,234 and 442,908 is: 946,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234 : 442,908 = 442,908 : x
  2. Step 2: Convert to fraction form
    207,234/442,908 = 442,908/x
  3. Step 3: Cross multiply
    207,234x = 442,908 × 442,908
  4. Step 4: Simplify right side
    207,234x = 196,167,496,464
  5. Step 5: Solve for x
    x = 196,167,496,464/207,234
  6. Step 6: Final answer
    x = 946,599.00

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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.