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Finding the Third Proportional to 415,278 and 593,847

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Solution

The third proportional to 415,278 and 593,847 is: 849,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,278 : 593,847 = 593,847 : x
  2. Step 2: Convert to fraction form
    415,278/593,847 = 593,847/x
  3. Step 3: Cross multiply
    415,278x = 593,847 × 593,847
  4. Step 4: Simplify right side
    415,278x = 352,654,259,409
  5. Step 5: Solve for x
    x = 352,654,259,409/415,278
  6. Step 6: Final answer
    x = 849,200.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.