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Finding the Third Proportional to 292,118 and 441,334

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Solution

The third proportional to 292,118 and 441,334 is: 666,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,118 : 441,334 = 441,334 : x
  2. Step 2: Convert to fraction form
    292,118/441,334 = 441,334/x
  3. Step 3: Cross multiply
    292,118x = 441,334 × 441,334
  4. Step 4: Simplify right side
    292,118x = 194,775,699,556
  5. Step 5: Solve for x
    x = 194,775,699,556/292,118
  6. Step 6: Final answer
    x = 666,770.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.