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Finding the Third Proportional to 493,590 and 744,027

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Solution

The third proportional to 493,590 and 744,027 is: 1,121,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,590 : 744,027 = 744,027 : x
  2. Step 2: Convert to fraction form
    493,590/744,027 = 744,027/x
  3. Step 3: Cross multiply
    493,590x = 744,027 × 744,027
  4. Step 4: Simplify right side
    493,590x = 553,576,176,729
  5. Step 5: Solve for x
    x = 553,576,176,729/493,590
  6. Step 6: Final answer
    x = 1,121,530.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.