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Finding the Third Proportional to 277,386 and 418,041

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Solution

The third proportional to 277,386 and 418,041 is: 630,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,386 : 418,041 = 418,041 : x
  2. Step 2: Convert to fraction form
    277,386/418,041 = 418,041/x
  3. Step 3: Cross multiply
    277,386x = 418,041 × 418,041
  4. Step 4: Simplify right side
    277,386x = 174,758,277,681
  5. Step 5: Solve for x
    x = 174,758,277,681/277,386
  6. Step 6: Final answer
    x = 630,018.38

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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.