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Finding the Third Proportional to 244,468 and 378,213

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Solution

The third proportional to 244,468 and 378,213 is: 585,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,468 : 378,213 = 378,213 : x
  2. Step 2: Convert to fraction form
    244,468/378,213 = 378,213/x
  3. Step 3: Cross multiply
    244,468x = 378,213 × 378,213
  4. Step 4: Simplify right side
    244,468x = 143,045,073,369
  5. Step 5: Solve for x
    x = 143,045,073,369/244,468
  6. Step 6: Final answer
    x = 585,128.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.