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Finding the Third Proportional to 334,285 and 715,223

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Solution

The third proportional to 334,285 and 715,223 is: 1,530,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,285 : 715,223 = 715,223 : x
  2. Step 2: Convert to fraction form
    334,285/715,223 = 715,223/x
  3. Step 3: Cross multiply
    334,285x = 715,223 × 715,223
  4. Step 4: Simplify right side
    334,285x = 511,543,939,729
  5. Step 5: Solve for x
    x = 511,543,939,729/334,285
  6. Step 6: Final answer
    x = 1,530,262.92

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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.