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Finding the Third Proportional to 375,934.50 and 782,973

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Solution

The third proportional to 375,934.50 and 782,973 is: 1,630,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,934.50 : 782,973 = 782,973 : x
  2. Step 2: Convert to fraction form
    375,934.50/782,973 = 782,973/x
  3. Step 3: Cross multiply
    375,934.50x = 782,973 × 782,973
  4. Step 4: Simplify right side
    375,934.50x = 613,046,718,729
  5. Step 5: Solve for x
    x = 613,046,718,729/375,934.50
  6. Step 6: Final answer
    x = 1,630,727.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.