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Finding the Third Proportional to 207,931 and 478,885

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Solution

The third proportional to 207,931 and 478,885 is: 1,102,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,931 : 478,885 = 478,885 : x
  2. Step 2: Convert to fraction form
    207,931/478,885 = 478,885/x
  3. Step 3: Cross multiply
    207,931x = 478,885 × 478,885
  4. Step 4: Simplify right side
    207,931x = 229,330,843,225
  5. Step 5: Solve for x
    x = 229,330,843,225/207,931
  6. Step 6: Final answer
    x = 1,102,918.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.