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Finding the Third Proportional to 493,316 and 737,991

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Solution

The third proportional to 493,316 and 737,991 is: 1,104,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,316 : 737,991 = 737,991 : x
  2. Step 2: Convert to fraction form
    493,316/737,991 = 737,991/x
  3. Step 3: Cross multiply
    493,316x = 737,991 × 737,991
  4. Step 4: Simplify right side
    493,316x = 544,630,716,081
  5. Step 5: Solve for x
    x = 544,630,716,081/493,316
  6. Step 6: Final answer
    x = 1,104,019.97

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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.