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Finding the Third Proportional to 223,314 and 486,714

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Solution

The third proportional to 223,314 and 486,714 is: 1,060,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,314 : 486,714 = 486,714 : x
  2. Step 2: Convert to fraction form
    223,314/486,714 = 486,714/x
  3. Step 3: Cross multiply
    223,314x = 486,714 × 486,714
  4. Step 4: Simplify right side
    223,314x = 236,890,517,796
  5. Step 5: Solve for x
    x = 236,890,517,796/223,314
  6. Step 6: Final answer
    x = 1,060,795.64

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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.