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Finding the Third Proportional to 223,814 and 483,374

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Solution

The third proportional to 223,814 and 483,374 is: 1,043,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,814 : 483,374 = 483,374 : x
  2. Step 2: Convert to fraction form
    223,814/483,374 = 483,374/x
  3. Step 3: Cross multiply
    223,814x = 483,374 × 483,374
  4. Step 4: Simplify right side
    223,814x = 233,650,423,876
  5. Step 5: Solve for x
    x = 233,650,423,876/223,814
  6. Step 6: Final answer
    x = 1,043,949.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.