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Finding the Third Proportional to 367,810 and 562,406

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Solution

The third proportional to 367,810 and 562,406 is: 859,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,810 : 562,406 = 562,406 : x
  2. Step 2: Convert to fraction form
    367,810/562,406 = 562,406/x
  3. Step 3: Cross multiply
    367,810x = 562,406 × 562,406
  4. Step 4: Simplify right side
    367,810x = 316,300,508,836
  5. Step 5: Solve for x
    x = 316,300,508,836/367,810
  6. Step 6: Final answer
    x = 859,956.25

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