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Finding the Third Proportional to 220,143 and 482,334

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Solution

The third proportional to 220,143 and 482,334 is: 1,056,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,143 : 482,334 = 482,334 : x
  2. Step 2: Convert to fraction form
    220,143/482,334 = 482,334/x
  3. Step 3: Cross multiply
    220,143x = 482,334 × 482,334
  4. Step 4: Simplify right side
    220,143x = 232,646,087,556
  5. Step 5: Solve for x
    x = 232,646,087,556/220,143
  6. Step 6: Final answer
    x = 1,056,795.30

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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.