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Finding the Third Proportional to 367,396 and 562,001

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Solution

The third proportional to 367,396 and 562,001 is: 859,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,396 : 562,001 = 562,001 : x
  2. Step 2: Convert to fraction form
    367,396/562,001 = 562,001/x
  3. Step 3: Cross multiply
    367,396x = 562,001 × 562,001
  4. Step 4: Simplify right side
    367,396x = 315,845,124,001
  5. Step 5: Solve for x
    x = 315,845,124,001/367,396
  6. Step 6: Final answer
    x = 859,685.80

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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.