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Finding the Third Proportional to 367,423 and 562,069

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Solution

The third proportional to 367,423 and 562,069 is: 859,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,423 : 562,069 = 562,069 : x
  2. Step 2: Convert to fraction form
    367,423/562,069 = 562,069/x
  3. Step 3: Cross multiply
    367,423x = 562,069 × 562,069
  4. Step 4: Simplify right side
    367,423x = 315,921,560,761
  5. Step 5: Solve for x
    x = 315,921,560,761/367,423
  6. Step 6: Final answer
    x = 859,830.66

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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.