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Finding the Third Proportional to 413,856 and 845,208

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Solution

The third proportional to 413,856 and 845,208 is: 1,726,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,856 : 845,208 = 845,208 : x
  2. Step 2: Convert to fraction form
    413,856/845,208 = 845,208/x
  3. Step 3: Cross multiply
    413,856x = 845,208 × 845,208
  4. Step 4: Simplify right side
    413,856x = 714,376,563,264
  5. Step 5: Solve for x
    x = 714,376,563,264/413,856
  6. Step 6: Final answer
    x = 1,726,147.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.