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Finding the Third Proportional to 371,888 and 763,380

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Solution

The third proportional to 371,888 and 763,380 is: 1,567,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,888 : 763,380 = 763,380 : x
  2. Step 2: Convert to fraction form
    371,888/763,380 = 763,380/x
  3. Step 3: Cross multiply
    371,888x = 763,380 × 763,380
  4. Step 4: Simplify right side
    371,888x = 582,749,024,400
  5. Step 5: Solve for x
    x = 582,749,024,400/371,888
  6. Step 6: Final answer
    x = 1,567,001.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.