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Finding the Third Proportional to 378,427 and 630,687

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Solution

The third proportional to 378,427 and 630,687 is: 1,051,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,427 : 630,687 = 630,687 : x
  2. Step 2: Convert to fraction form
    378,427/630,687 = 630,687/x
  3. Step 3: Cross multiply
    378,427x = 630,687 × 630,687
  4. Step 4: Simplify right side
    378,427x = 397,766,091,969
  5. Step 5: Solve for x
    x = 397,766,091,969/378,427
  6. Step 6: Final answer
    x = 1,051,103.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.