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Finding the Third Proportional to 244,226 and 520,708

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Solution

The third proportional to 244,226 and 520,708 is: 1,110,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,226 : 520,708 = 520,708 : x
  2. Step 2: Convert to fraction form
    244,226/520,708 = 520,708/x
  3. Step 3: Cross multiply
    244,226x = 520,708 × 520,708
  4. Step 4: Simplify right side
    244,226x = 271,136,821,264
  5. Step 5: Solve for x
    x = 271,136,821,264/244,226
  6. Step 6: Final answer
    x = 1,110,188.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.