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Finding the Third Proportional to 299,426 and 476,188

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Solution

The third proportional to 299,426 and 476,188 is: 757,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,426 : 476,188 = 476,188 : x
  2. Step 2: Convert to fraction form
    299,426/476,188 = 476,188/x
  3. Step 3: Cross multiply
    299,426x = 476,188 × 476,188
  4. Step 4: Simplify right side
    299,426x = 226,755,011,344
  5. Step 5: Solve for x
    x = 226,755,011,344/299,426
  6. Step 6: Final answer
    x = 757,299.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.