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Finding the Third Proportional to 340,682.63 and 496,234.69

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Solution

The third proportional to 340,682.63 and 496,234.69 is: 722,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,682.63 : 496,234.69 = 496,234.69 : x
  2. Step 2: Convert to fraction form
    340,682.63/496,234.69 = 496,234.69/x
  3. Step 3: Cross multiply
    340,682.63x = 496,234.69 × 496,234.69
  4. Step 4: Simplify right side
    340,682.63x = 246,248,865,078.22
  5. Step 5: Solve for x
    x = 246,248,865,078.22/340,682.63
  6. Step 6: Final answer
    x = 722,810.17

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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.