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Finding the Third Proportional to 498,158 and 793,055

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Solution

The third proportional to 498,158 and 793,055 is: 1,262,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,158 : 793,055 = 793,055 : x
  2. Step 2: Convert to fraction form
    498,158/793,055 = 793,055/x
  3. Step 3: Cross multiply
    498,158x = 793,055 × 793,055
  4. Step 4: Simplify right side
    498,158x = 628,936,233,025
  5. Step 5: Solve for x
    x = 628,936,233,025/498,158
  6. Step 6: Final answer
    x = 1,262,523.60

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Why These Related Problems?

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