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Finding the Third Proportional to 338,386 and 476,101

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Solution

The third proportional to 338,386 and 476,101 is: 669,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,386 : 476,101 = 476,101 : x
  2. Step 2: Convert to fraction form
    338,386/476,101 = 476,101/x
  3. Step 3: Cross multiply
    338,386x = 476,101 × 476,101
  4. Step 4: Simplify right side
    338,386x = 226,672,162,201
  5. Step 5: Solve for x
    x = 226,672,162,201/338,386
  6. Step 6: Final answer
    x = 669,862.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.