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Finding the Third Proportional to 220,034 and 482,143

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Solution

The third proportional to 220,034 and 482,143 is: 1,056,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,034 : 482,143 = 482,143 : x
  2. Step 2: Convert to fraction form
    220,034/482,143 = 482,143/x
  3. Step 3: Cross multiply
    220,034x = 482,143 × 482,143
  4. Step 4: Simplify right side
    220,034x = 232,461,872,449
  5. Step 5: Solve for x
    x = 232,461,872,449/220,034
  6. Step 6: Final answer
    x = 1,056,481.60

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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.