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Finding the Third Proportional to 277,392 and 418,050

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Solution

The third proportional to 277,392 and 418,050 is: 630,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,392 : 418,050 = 418,050 : x
  2. Step 2: Convert to fraction form
    277,392/418,050 = 418,050/x
  3. Step 3: Cross multiply
    277,392x = 418,050 × 418,050
  4. Step 4: Simplify right side
    277,392x = 174,765,802,500
  5. Step 5: Solve for x
    x = 174,765,802,500/277,392
  6. Step 6: Final answer
    x = 630,031.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.