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Finding the Third Proportional to 259,814 and 558,304

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Solution

The third proportional to 259,814 and 558,304 is: 1,199,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,814 : 558,304 = 558,304 : x
  2. Step 2: Convert to fraction form
    259,814/558,304 = 558,304/x
  3. Step 3: Cross multiply
    259,814x = 558,304 × 558,304
  4. Step 4: Simplify right side
    259,814x = 311,703,356,416
  5. Step 5: Solve for x
    x = 311,703,356,416/259,814
  6. Step 6: Final answer
    x = 1,199,717.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.