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Finding the Third Proportional to 221,724 and 486,369

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Solution

The third proportional to 221,724 and 486,369 is: 1,066,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,724 : 486,369 = 486,369 : x
  2. Step 2: Convert to fraction form
    221,724/486,369 = 486,369/x
  3. Step 3: Cross multiply
    221,724x = 486,369 × 486,369
  4. Step 4: Simplify right side
    221,724x = 236,554,804,161
  5. Step 5: Solve for x
    x = 236,554,804,161/221,724
  6. Step 6: Final answer
    x = 1,066,888.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.