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Finding the Third Proportional to 216,444 and 479,598

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Solution

The third proportional to 216,444 and 479,598 is: 1,062,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,444 : 479,598 = 479,598 : x
  2. Step 2: Convert to fraction form
    216,444/479,598 = 479,598/x
  3. Step 3: Cross multiply
    216,444x = 479,598 × 479,598
  4. Step 4: Simplify right side
    216,444x = 230,014,241,604
  5. Step 5: Solve for x
    x = 230,014,241,604/216,444
  6. Step 6: Final answer
    x = 1,062,696.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.