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Finding the Third Proportional to 498,159 and 793,057.50

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Solution

The third proportional to 498,159 and 793,057.50 is: 1,262,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,159 : 793,057.50 = 793,057.50 : x
  2. Step 2: Convert to fraction form
    498,159/793,057.50 = 793,057.50/x
  3. Step 3: Cross multiply
    498,159x = 793,057.50 × 793,057.50
  4. Step 4: Simplify right side
    498,159x = 628,940,198,306.25
  5. Step 5: Solve for x
    x = 628,940,198,306.25/498,159
  6. Step 6: Final answer
    x = 1,262,529.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.