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Finding the Third Proportional to 415,272 and 593,838

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Solution

The third proportional to 415,272 and 593,838 is: 849,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,272 : 593,838 = 593,838 : x
  2. Step 2: Convert to fraction form
    415,272/593,838 = 593,838/x
  3. Step 3: Cross multiply
    415,272x = 593,838 × 593,838
  4. Step 4: Simplify right side
    415,272x = 352,643,570,244
  5. Step 5: Solve for x
    x = 352,643,570,244/415,272
  6. Step 6: Final answer
    x = 849,186.97

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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.