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Finding the Third Proportional to 221,560 and 483,221

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Solution

The third proportional to 221,560 and 483,221 is: 1,053,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,560 : 483,221 = 483,221 : x
  2. Step 2: Convert to fraction form
    221,560/483,221 = 483,221/x
  3. Step 3: Cross multiply
    221,560x = 483,221 × 483,221
  4. Step 4: Simplify right side
    221,560x = 233,502,534,841
  5. Step 5: Solve for x
    x = 233,502,534,841/221,560
  6. Step 6: Final answer
    x = 1,053,902.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.