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Finding the Third Proportional to 223,812 and 483,370

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Solution

The third proportional to 223,812 and 483,370 is: 1,043,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,812 : 483,370 = 483,370 : x
  2. Step 2: Convert to fraction form
    223,812/483,370 = 483,370/x
  3. Step 3: Cross multiply
    223,812x = 483,370 × 483,370
  4. Step 4: Simplify right side
    223,812x = 233,646,556,900
  5. Step 5: Solve for x
    x = 233,646,556,900/223,812
  6. Step 6: Final answer
    x = 1,043,941.15

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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.