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Finding the Third Proportional to 340,701.75 and 496,263.38

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Solution

The third proportional to 340,701.75 and 496,263.38 is: 722,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,701.75 : 496,263.38 = 496,263.38 : x
  2. Step 2: Convert to fraction form
    340,701.75/496,263.38 = 496,263.38/x
  3. Step 3: Cross multiply
    340,701.75x = 496,263.38 × 496,263.38
  4. Step 4: Simplify right side
    340,701.75x = 246,277,337,366.39
  5. Step 5: Solve for x
    x = 246,277,337,366.39/340,701.75
  6. Step 6: Final answer
    x = 722,853.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.