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Finding the Third Proportional to 347,726 and 496,314

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Solution

The third proportional to 347,726 and 496,314 is: 708,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,726 : 496,314 = 496,314 : x
  2. Step 2: Convert to fraction form
    347,726/496,314 = 496,314/x
  3. Step 3: Cross multiply
    347,726x = 496,314 × 496,314
  4. Step 4: Simplify right side
    347,726x = 246,327,586,596
  5. Step 5: Solve for x
    x = 246,327,586,596/347,726
  6. Step 6: Final answer
    x = 708,395.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.