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Finding the Third Proportional to 220,148 and 482,488

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Solution

The third proportional to 220,148 and 482,488 is: 1,057,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,148 : 482,488 = 482,488 : x
  2. Step 2: Convert to fraction form
    220,148/482,488 = 482,488/x
  3. Step 3: Cross multiply
    220,148x = 482,488 × 482,488
  4. Step 4: Simplify right side
    220,148x = 232,794,670,144
  5. Step 5: Solve for x
    x = 232,794,670,144/220,148
  6. Step 6: Final answer
    x = 1,057,446.22

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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.