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Finding the Third Proportional to 344,677 and 496,442

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Solution

The third proportional to 344,677 and 496,442 is: 715,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,677 : 496,442 = 496,442 : x
  2. Step 2: Convert to fraction form
    344,677/496,442 = 496,442/x
  3. Step 3: Cross multiply
    344,677x = 496,442 × 496,442
  4. Step 4: Simplify right side
    344,677x = 246,454,659,364
  5. Step 5: Solve for x
    x = 246,454,659,364/344,677
  6. Step 6: Final answer
    x = 715,030.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.