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Finding the Third Proportional to 493,488.50 and 743,881

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Solution

The third proportional to 493,488.50 and 743,881 is: 1,121,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,488.50 : 743,881 = 743,881 : x
  2. Step 2: Convert to fraction form
    493,488.50/743,881 = 743,881/x
  3. Step 3: Cross multiply
    493,488.50x = 743,881 × 743,881
  4. Step 4: Simplify right side
    493,488.50x = 553,358,942,161
  5. Step 5: Solve for x
    x = 553,358,942,161/493,488.50
  6. Step 6: Final answer
    x = 1,121,320.85

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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.