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Finding the Third Proportional to 367,406 and 562,017

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Solution

The third proportional to 367,406 and 562,017 is: 859,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,406 : 562,017 = 562,017 : x
  2. Step 2: Convert to fraction form
    367,406/562,017 = 562,017/x
  3. Step 3: Cross multiply
    367,406x = 562,017 × 562,017
  4. Step 4: Simplify right side
    367,406x = 315,863,108,289
  5. Step 5: Solve for x
    x = 315,863,108,289/367,406
  6. Step 6: Final answer
    x = 859,711.35

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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.