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Finding the Third Proportional to 334,261.69 and 720,498.38

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Solution

The third proportional to 334,261.69 and 720,498.38 is: 1,553,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,261.69 : 720,498.38 = 720,498.38 : x
  2. Step 2: Convert to fraction form
    334,261.69/720,498.38 = 720,498.38/x
  3. Step 3: Cross multiply
    334,261.69x = 720,498.38 × 720,498.38
  4. Step 4: Simplify right side
    334,261.69x = 519,117,908,377.64
  5. Step 5: Solve for x
    x = 519,117,908,377.64/334,261.69
  6. Step 6: Final answer
    x = 1,553,028.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.