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Finding the Third Proportional to 220,825.50 and 478,992

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Solution

The third proportional to 220,825.50 and 478,992 is: 1,038,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,825.50 : 478,992 = 478,992 : x
  2. Step 2: Convert to fraction form
    220,825.50/478,992 = 478,992/x
  3. Step 3: Cross multiply
    220,825.50x = 478,992 × 478,992
  4. Step 4: Simplify right side
    220,825.50x = 229,433,336,064
  5. Step 5: Solve for x
    x = 229,433,336,064/220,825.50
  6. Step 6: Final answer
    x = 1,038,980.26

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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.