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Finding the Third Proportional to 415,292 and 593,869

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Solution

The third proportional to 415,292 and 593,869 is: 849,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,292 : 593,869 = 593,869 : x
  2. Step 2: Convert to fraction form
    415,292/593,869 = 593,869/x
  3. Step 3: Cross multiply
    415,292x = 593,869 × 593,869
  4. Step 4: Simplify right side
    415,292x = 352,680,389,161
  5. Step 5: Solve for x
    x = 352,680,389,161/415,292
  6. Step 6: Final answer
    x = 849,234.73

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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.