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Finding the Third Proportional to 259,784 and 558,416

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Solution

The third proportional to 259,784 and 558,416 is: 1,200,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,784 : 558,416 = 558,416 : x
  2. Step 2: Convert to fraction form
    259,784/558,416 = 558,416/x
  3. Step 3: Cross multiply
    259,784x = 558,416 × 558,416
  4. Step 4: Simplify right side
    259,784x = 311,828,429,056
  5. Step 5: Solve for x
    x = 311,828,429,056/259,784
  6. Step 6: Final answer
    x = 1,200,337.32

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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.