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Finding the Third Proportional to 375,896 and 782,894

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Solution

The third proportional to 375,896 and 782,894 is: 1,630,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,896 : 782,894 = 782,894 : x
  2. Step 2: Convert to fraction form
    375,896/782,894 = 782,894/x
  3. Step 3: Cross multiply
    375,896x = 782,894 × 782,894
  4. Step 4: Simplify right side
    375,896x = 612,923,015,236
  5. Step 5: Solve for x
    x = 612,923,015,236/375,896
  6. Step 6: Final answer
    x = 1,630,565.41

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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.