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Finding the Third Proportional to 221,984 and 479,437

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Solution

The third proportional to 221,984 and 479,437 is: 1,035,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,984 : 479,437 = 479,437 : x
  2. Step 2: Convert to fraction form
    221,984/479,437 = 479,437/x
  3. Step 3: Cross multiply
    221,984x = 479,437 × 479,437
  4. Step 4: Simplify right side
    221,984x = 229,859,836,969
  5. Step 5: Solve for x
    x = 229,859,836,969/221,984
  6. Step 6: Final answer
    x = 1,035,479.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.