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Finding the Third Proportional to 223,614 and 482,880

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Solution

The third proportional to 223,614 and 482,880 is: 1,042,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,614 : 482,880 = 482,880 : x
  2. Step 2: Convert to fraction form
    223,614/482,880 = 482,880/x
  3. Step 3: Cross multiply
    223,614x = 482,880 × 482,880
  4. Step 4: Simplify right side
    223,614x = 233,173,094,400
  5. Step 5: Solve for x
    x = 233,173,094,400/223,614
  6. Step 6: Final answer
    x = 1,042,748.19

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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.