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Finding the Third Proportional to 220,749 and 476,777

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Solution

The third proportional to 220,749 and 476,777 is: 1,029,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,749 : 476,777 = 476,777 : x
  2. Step 2: Convert to fraction form
    220,749/476,777 = 476,777/x
  3. Step 3: Cross multiply
    220,749x = 476,777 × 476,777
  4. Step 4: Simplify right side
    220,749x = 227,316,307,729
  5. Step 5: Solve for x
    x = 227,316,307,729/220,749
  6. Step 6: Final answer
    x = 1,029,750.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.