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Finding the Third Proportional to 375,938 and 782,982

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Solution

The third proportional to 375,938 and 782,982 is: 1,630,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,938 : 782,982 = 782,982 : x
  2. Step 2: Convert to fraction form
    375,938/782,982 = 782,982/x
  3. Step 3: Cross multiply
    375,938x = 782,982 × 782,982
  4. Step 4: Simplify right side
    375,938x = 613,060,812,324
  5. Step 5: Solve for x
    x = 613,060,812,324/375,938
  6. Step 6: Final answer
    x = 1,630,749.78

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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.