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Finding the Third Proportional to 338,799 and 498,830.06

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Solution

The third proportional to 338,799 and 498,830.06 is: 734,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,799 : 498,830.06 = 498,830.06 : x
  2. Step 2: Convert to fraction form
    338,799/498,830.06 = 498,830.06/x
  3. Step 3: Cross multiply
    338,799x = 498,830.06 × 498,830.06
  4. Step 4: Simplify right side
    338,799x = 248,831,431,253.75
  5. Step 5: Solve for x
    x = 248,831,431,253.75/338,799
  6. Step 6: Final answer
    x = 734,451.49

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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.