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Finding the Third Proportional to 437,536.69 and 496,585.69

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Solution

The third proportional to 437,536.69 and 496,585.69 is: 563,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,536.69 : 496,585.69 = 496,585.69 : x
  2. Step 2: Convert to fraction form
    437,536.69/496,585.69 = 496,585.69/x
  3. Step 3: Cross multiply
    437,536.69x = 496,585.69 × 496,585.69
  4. Step 4: Simplify right side
    437,536.69x = 246,597,345,029.85
  5. Step 5: Solve for x
    x = 246,597,345,029.85/437,536.69
  6. Step 6: Final answer
    x = 563,603.81

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.