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Finding the Third Proportional to 375,980 and 782,942

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Solution

The third proportional to 375,980 and 782,942 is: 1,630,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,980 : 782,942 = 782,942 : x
  2. Step 2: Convert to fraction form
    375,980/782,942 = 782,942/x
  3. Step 3: Cross multiply
    375,980x = 782,942 × 782,942
  4. Step 4: Simplify right side
    375,980x = 612,998,175,364
  5. Step 5: Solve for x
    x = 612,998,175,364/375,980
  6. Step 6: Final answer
    x = 1,630,401.02

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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.