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Finding the Third Proportional to 415,277 and 593,845

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Solution

The third proportional to 415,277 and 593,845 is: 849,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,277 : 593,845 = 593,845 : x
  2. Step 2: Convert to fraction form
    415,277/593,845 = 593,845/x
  3. Step 3: Cross multiply
    415,277x = 593,845 × 593,845
  4. Step 4: Simplify right side
    415,277x = 352,651,884,025
  5. Step 5: Solve for x
    x = 352,651,884,025/415,277
  6. Step 6: Final answer
    x = 849,196.76

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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.