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Finding the Third Proportional to 374,967 and 818,523

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Solution

The third proportional to 374,967 and 818,523 is: 1,786,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,967 : 818,523 = 818,523 : x
  2. Step 2: Convert to fraction form
    374,967/818,523 = 818,523/x
  3. Step 3: Cross multiply
    374,967x = 818,523 × 818,523
  4. Step 4: Simplify right side
    374,967x = 669,979,901,529
  5. Step 5: Solve for x
    x = 669,979,901,529/374,967
  6. Step 6: Final answer
    x = 1,786,770.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.