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Finding the Third Proportional to 375,977.53 and 782,937.56

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Solution

The third proportional to 375,977.53 and 782,937.56 is: 1,630,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,977.53 : 782,937.56 = 782,937.56 : x
  2. Step 2: Convert to fraction form
    375,977.53/782,937.56 = 782,937.56/x
  3. Step 3: Cross multiply
    375,977.53x = 782,937.56 × 782,937.56
  4. Step 4: Simplify right side
    375,977.53x = 612,991,226,773.44
  5. Step 5: Solve for x
    x = 612,991,226,773.44/375,977.53
  6. Step 6: Final answer
    x = 1,630,393.24

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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.