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Finding the Third Proportional to 232,704 and 482,688

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Solution

The third proportional to 232,704 and 482,688 is: 1,001,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 482,688 = 482,688 : x
  2. Step 2: Convert to fraction form
    232,704/482,688 = 482,688/x
  3. Step 3: Cross multiply
    232,704x = 482,688 × 482,688
  4. Step 4: Simplify right side
    232,704x = 232,987,705,344
  5. Step 5: Solve for x
    x = 232,987,705,344/232,704
  6. Step 6: Final answer
    x = 1,001,219.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.