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Finding the Third Proportional to 207,906 and 477,322

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Solution

The third proportional to 207,906 and 477,322 is: 1,095,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 477,322 = 477,322 : x
  2. Step 2: Convert to fraction form
    207,906/477,322 = 477,322/x
  3. Step 3: Cross multiply
    207,906x = 477,322 × 477,322
  4. Step 4: Simplify right side
    207,906x = 227,836,291,684
  5. Step 5: Solve for x
    x = 227,836,291,684/207,906
  6. Step 6: Final answer
    x = 1,095,862.03

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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.