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Finding the Third Proportional to 338,778 and 498,818

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Solution

The third proportional to 338,778 and 498,818 is: 734,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,778 : 498,818 = 498,818 : x
  2. Step 2: Convert to fraction form
    338,778/498,818 = 498,818/x
  3. Step 3: Cross multiply
    338,778x = 498,818 × 498,818
  4. Step 4: Simplify right side
    338,778x = 248,819,397,124
  5. Step 5: Solve for x
    x = 248,819,397,124/338,778
  6. Step 6: Final answer
    x = 734,461.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.