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Finding the Third Proportional to 334,664 and 496,236

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Solution

The third proportional to 334,664 and 496,236 is: 735,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,664 : 496,236 = 496,236 : x
  2. Step 2: Convert to fraction form
    334,664/496,236 = 496,236/x
  3. Step 3: Cross multiply
    334,664x = 496,236 × 496,236
  4. Step 4: Simplify right side
    334,664x = 246,250,167,696
  5. Step 5: Solve for x
    x = 246,250,167,696/334,664
  6. Step 6: Final answer
    x = 735,813.14

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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.