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Finding the Third Proportional to 375,991 and 782,964

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Solution

The third proportional to 375,991 and 782,964 is: 1,630,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,991 : 782,964 = 782,964 : x
  2. Step 2: Convert to fraction form
    375,991/782,964 = 782,964/x
  3. Step 3: Cross multiply
    375,991x = 782,964 × 782,964
  4. Step 4: Simplify right side
    375,991x = 613,032,625,296
  5. Step 5: Solve for x
    x = 613,032,625,296/375,991
  6. Step 6: Final answer
    x = 1,630,444.94

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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.