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Finding the Third Proportional to 286,272 and 378,510

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Solution

The third proportional to 286,272 and 378,510 is: 500,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,272 : 378,510 = 378,510 : x
  2. Step 2: Convert to fraction form
    286,272/378,510 = 378,510/x
  3. Step 3: Cross multiply
    286,272x = 378,510 × 378,510
  4. Step 4: Simplify right side
    286,272x = 143,269,820,100
  5. Step 5: Solve for x
    x = 143,269,820,100/286,272
  6. Step 6: Final answer
    x = 500,467.46

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.