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Finding the Third Proportional to 493,322 and 737,998

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Solution

The third proportional to 493,322 and 737,998 is: 1,104,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,322 : 737,998 = 737,998 : x
  2. Step 2: Convert to fraction form
    493,322/737,998 = 737,998/x
  3. Step 3: Cross multiply
    493,322x = 737,998 × 737,998
  4. Step 4: Simplify right side
    493,322x = 544,641,048,004
  5. Step 5: Solve for x
    x = 544,641,048,004/493,322
  6. Step 6: Final answer
    x = 1,104,027.49

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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.