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Finding the Third Proportional to 221,762 and 475,276

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Solution

The third proportional to 221,762 and 475,276 is: 1,018,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,762 : 475,276 = 475,276 : x
  2. Step 2: Convert to fraction form
    221,762/475,276 = 475,276/x
  3. Step 3: Cross multiply
    221,762x = 475,276 × 475,276
  4. Step 4: Simplify right side
    221,762x = 225,887,276,176
  5. Step 5: Solve for x
    x = 225,887,276,176/221,762
  6. Step 6: Final answer
    x = 1,018,602.27

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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.