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Finding the Third Proportional to 476,000 and 700,836

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Solution

The third proportional to 476,000 and 700,836 is: 1,031,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,000 : 700,836 = 700,836 : x
  2. Step 2: Convert to fraction form
    476,000/700,836 = 700,836/x
  3. Step 3: Cross multiply
    476,000x = 700,836 × 700,836
  4. Step 4: Simplify right side
    476,000x = 491,171,098,896
  5. Step 5: Solve for x
    x = 491,171,098,896/476,000
  6. Step 6: Final answer
    x = 1,031,872.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.