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Finding the Third Proportional to 259,524 and 558,332

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Solution

The third proportional to 259,524 and 558,332 is: 1,201,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,524 : 558,332 = 558,332 : x
  2. Step 2: Convert to fraction form
    259,524/558,332 = 558,332/x
  3. Step 3: Cross multiply
    259,524x = 558,332 × 558,332
  4. Step 4: Simplify right side
    259,524x = 311,734,622,224
  5. Step 5: Solve for x
    x = 311,734,622,224/259,524
  6. Step 6: Final answer
    x = 1,201,178.40

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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.