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Finding the Third Proportional to 223,392 and 486,240

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Solution

The third proportional to 223,392 and 486,240 is: 1,058,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,392 : 486,240 = 486,240 : x
  2. Step 2: Convert to fraction form
    223,392/486,240 = 486,240/x
  3. Step 3: Cross multiply
    223,392x = 486,240 × 486,240
  4. Step 4: Simplify right side
    223,392x = 236,429,337,600
  5. Step 5: Solve for x
    x = 236,429,337,600/223,392
  6. Step 6: Final answer
    x = 1,058,360.81

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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.