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Finding the Third Proportional to 375,980 and 782,941.50

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Solution

The third proportional to 375,980 and 782,941.50 is: 1,630,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,980 : 782,941.50 = 782,941.50 : x
  2. Step 2: Convert to fraction form
    375,980/782,941.50 = 782,941.50/x
  3. Step 3: Cross multiply
    375,980x = 782,941.50 × 782,941.50
  4. Step 4: Simplify right side
    375,980x = 612,997,392,422.25
  5. Step 5: Solve for x
    x = 612,997,392,422.25/375,980
  6. Step 6: Final answer
    x = 1,630,398.94

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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.