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Finding the Third Proportional to 223,586 and 482,020

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Solution

The third proportional to 223,586 and 482,020 is: 1,039,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,586 : 482,020 = 482,020 : x
  2. Step 2: Convert to fraction form
    223,586/482,020 = 482,020/x
  3. Step 3: Cross multiply
    223,586x = 482,020 × 482,020
  4. Step 4: Simplify right side
    223,586x = 232,343,280,400
  5. Step 5: Solve for x
    x = 232,343,280,400/223,586
  6. Step 6: Final answer
    x = 1,039,167.39

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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.