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Finding the Third Proportional to 207,315 and 444,114

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Solution

The third proportional to 207,315 and 444,114 is: 951,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,315 : 444,114 = 444,114 : x
  2. Step 2: Convert to fraction form
    207,315/444,114 = 444,114/x
  3. Step 3: Cross multiply
    207,315x = 444,114 × 444,114
  4. Step 4: Simplify right side
    207,315x = 197,237,244,996
  5. Step 5: Solve for x
    x = 197,237,244,996/207,315
  6. Step 6: Final answer
    x = 951,389.17

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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.