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Finding the Third Proportional to 221,550 and 480,492

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Solution

The third proportional to 221,550 and 480,492 is: 1,042,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,550 : 480,492 = 480,492 : x
  2. Step 2: Convert to fraction form
    221,550/480,492 = 480,492/x
  3. Step 3: Cross multiply
    221,550x = 480,492 × 480,492
  4. Step 4: Simplify right side
    221,550x = 230,872,562,064
  5. Step 5: Solve for x
    x = 230,872,562,064/221,550
  6. Step 6: Final answer
    x = 1,042,078.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.