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Finding the Third Proportional to 221,770 and 475,292

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Solution

The third proportional to 221,770 and 475,292 is: 1,018,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,770 : 475,292 = 475,292 : x
  2. Step 2: Convert to fraction form
    221,770/475,292 = 475,292/x
  3. Step 3: Cross multiply
    221,770x = 475,292 × 475,292
  4. Step 4: Simplify right side
    221,770x = 225,902,485,264
  5. Step 5: Solve for x
    x = 225,902,485,264/221,770
  6. Step 6: Final answer
    x = 1,018,634.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.