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Finding the Third Proportional to 334,666 and 496,239

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Solution

The third proportional to 334,666 and 496,239 is: 735,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,666 : 496,239 = 496,239 : x
  2. Step 2: Convert to fraction form
    334,666/496,239 = 496,239/x
  3. Step 3: Cross multiply
    334,666x = 496,239 × 496,239
  4. Step 4: Simplify right side
    334,666x = 246,253,145,121
  5. Step 5: Solve for x
    x = 246,253,145,121/334,666
  6. Step 6: Final answer
    x = 735,817.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.