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Finding the Third Proportional to 267,378 and 578,388

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Solution

The third proportional to 267,378 and 578,388 is: 1,251,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,378 : 578,388 = 578,388 : x
  2. Step 2: Convert to fraction form
    267,378/578,388 = 578,388/x
  3. Step 3: Cross multiply
    267,378x = 578,388 × 578,388
  4. Step 4: Simplify right side
    267,378x = 334,532,678,544
  5. Step 5: Solve for x
    x = 334,532,678,544/267,378
  6. Step 6: Final answer
    x = 1,251,160.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.