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Finding the Third Proportional to 375,984 and 782,949

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Solution

The third proportional to 375,984 and 782,949 is: 1,630,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,984 : 782,949 = 782,949 : x
  2. Step 2: Convert to fraction form
    375,984/782,949 = 782,949/x
  3. Step 3: Cross multiply
    375,984x = 782,949 × 782,949
  4. Step 4: Simplify right side
    375,984x = 613,009,136,601
  5. Step 5: Solve for x
    x = 613,009,136,601/375,984
  6. Step 6: Final answer
    x = 1,630,412.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.