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Finding the Third Proportional to 664,125.75 and 996,332.63

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Solution

The third proportional to 664,125.75 and 996,332.63 is: 1,494,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,125.75 : 996,332.63 = 996,332.63 : x
  2. Step 2: Convert to fraction form
    664,125.75/996,332.63 = 996,332.63/x
  3. Step 3: Cross multiply
    664,125.75x = 996,332.63 × 996,332.63
  4. Step 4: Simplify right side
    664,125.75x = 992,678,699,639.39
  5. Step 5: Solve for x
    x = 992,678,699,639.39/664,125.75
  6. Step 6: Final answer
    x = 1,494,714.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.