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Finding the Third Proportional to 363,568 and 558,048

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Solution

The third proportional to 363,568 and 558,048 is: 856,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,568 : 558,048 = 558,048 : x
  2. Step 2: Convert to fraction form
    363,568/558,048 = 558,048/x
  3. Step 3: Cross multiply
    363,568x = 558,048 × 558,048
  4. Step 4: Simplify right side
    363,568x = 311,417,570,304
  5. Step 5: Solve for x
    x = 311,417,570,304/363,568
  6. Step 6: Final answer
    x = 856,559.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.