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Finding the Third Proportional to 334,281 and 715,218

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Solution

The third proportional to 334,281 and 715,218 is: 1,530,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,281 : 715,218 = 715,218 : x
  2. Step 2: Convert to fraction form
    334,281/715,218 = 715,218/x
  3. Step 3: Cross multiply
    334,281x = 715,218 × 715,218
  4. Step 4: Simplify right side
    334,281x = 511,536,787,524
  5. Step 5: Solve for x
    x = 511,536,787,524/334,281
  6. Step 6: Final answer
    x = 1,530,259.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.