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Finding the Third Proportional to 498,177 and 793,080

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Solution

The third proportional to 498,177 and 793,080 is: 1,262,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,177 : 793,080 = 793,080 : x
  2. Step 2: Convert to fraction form
    498,177/793,080 = 793,080/x
  3. Step 3: Cross multiply
    498,177x = 793,080 × 793,080
  4. Step 4: Simplify right side
    498,177x = 628,975,886,400
  5. Step 5: Solve for x
    x = 628,975,886,400/498,177
  6. Step 6: Final answer
    x = 1,262,555.05

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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.