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Finding the Third Proportional to 217,490 and 477,532

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Solution

The third proportional to 217,490 and 477,532 is: 1,048,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,490 : 477,532 = 477,532 : x
  2. Step 2: Convert to fraction form
    217,490/477,532 = 477,532/x
  3. Step 3: Cross multiply
    217,490x = 477,532 × 477,532
  4. Step 4: Simplify right side
    217,490x = 228,036,811,024
  5. Step 5: Solve for x
    x = 228,036,811,024/217,490
  6. Step 6: Final answer
    x = 1,048,493.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.