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Finding the Third Proportional to 334,269 and 715,185

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Solution

The third proportional to 334,269 and 715,185 is: 1,530,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,269 : 715,185 = 715,185 : x
  2. Step 2: Convert to fraction form
    334,269/715,185 = 715,185/x
  3. Step 3: Cross multiply
    334,269x = 715,185 × 715,185
  4. Step 4: Simplify right side
    334,269x = 511,489,584,225
  5. Step 5: Solve for x
    x = 511,489,584,225/334,269
  6. Step 6: Final answer
    x = 1,530,173.56

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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.