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Finding the Third Proportional to 332,564 and 498,334

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Solution

The third proportional to 332,564 and 498,334 is: 746,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,564 : 498,334 = 498,334 : x
  2. Step 2: Convert to fraction form
    332,564/498,334 = 498,334/x
  3. Step 3: Cross multiply
    332,564x = 498,334 × 498,334
  4. Step 4: Simplify right side
    332,564x = 248,336,775,556
  5. Step 5: Solve for x
    x = 248,336,775,556/332,564
  6. Step 6: Final answer
    x = 746,733.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.