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Finding the Third Proportional to 223,323 and 481,659

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Solution

The third proportional to 223,323 and 481,659 is: 1,038,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,323 : 481,659 = 481,659 : x
  2. Step 2: Convert to fraction form
    223,323/481,659 = 481,659/x
  3. Step 3: Cross multiply
    223,323x = 481,659 × 481,659
  4. Step 4: Simplify right side
    223,323x = 231,995,392,281
  5. Step 5: Solve for x
    x = 231,995,392,281/223,323
  6. Step 6: Final answer
    x = 1,038,833.40

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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.