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Finding the Third Proportional to 321,755 and 482,011

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Solution

The third proportional to 321,755 and 482,011 is: 722,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,755 : 482,011 = 482,011 : x
  2. Step 2: Convert to fraction form
    321,755/482,011 = 482,011/x
  3. Step 3: Cross multiply
    321,755x = 482,011 × 482,011
  4. Step 4: Simplify right side
    321,755x = 232,334,604,121
  5. Step 5: Solve for x
    x = 232,334,604,121/321,755
  6. Step 6: Final answer
    x = 722,085.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.