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Finding the Third Proportional to 232,806 and 365,440

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Solution

The third proportional to 232,806 and 365,440 is: 573,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,806 : 365,440 = 365,440 : x
  2. Step 2: Convert to fraction form
    232,806/365,440 = 365,440/x
  3. Step 3: Cross multiply
    232,806x = 365,440 × 365,440
  4. Step 4: Simplify right side
    232,806x = 133,546,393,600
  5. Step 5: Solve for x
    x = 133,546,393,600/232,806
  6. Step 6: Final answer
    x = 573,638.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.