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Finding the Third Proportional to 375,981.75 and 782,944.88

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Solution

The third proportional to 375,981.75 and 782,944.88 is: 1,630,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,981.75 : 782,944.88 = 782,944.88 : x
  2. Step 2: Convert to fraction form
    375,981.75/782,944.88 = 782,944.88/x
  3. Step 3: Cross multiply
    375,981.75x = 782,944.88 × 782,944.88
  4. Step 4: Simplify right side
    375,981.75x = 613,002,677,288.77
  5. Step 5: Solve for x
    x = 613,002,677,288.77/375,981.75
  6. Step 6: Final answer
    x = 1,630,405.40

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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.