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Finding the Third Proportional to 493,816.50 and 721,907.44

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Solution

The third proportional to 493,816.50 and 721,907.44 is: 1,055,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,816.50 : 721,907.44 = 721,907.44 : x
  2. Step 2: Convert to fraction form
    493,816.50/721,907.44 = 721,907.44/x
  3. Step 3: Cross multiply
    493,816.50x = 721,907.44 × 721,907.44
  4. Step 4: Simplify right side
    493,816.50x = 521,150,348,317.82
  5. Step 5: Solve for x
    x = 521,150,348,317.82/493,816.50
  6. Step 6: Final answer
    x = 1,055,352.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.