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Finding the Third Proportional to 508,224.38 and 677,540.53

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Solution

The third proportional to 508,224.38 and 677,540.53 is: 903,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,224.38 : 677,540.53 = 677,540.53 : x
  2. Step 2: Convert to fraction form
    508,224.38/677,540.53 = 677,540.53/x
  3. Step 3: Cross multiply
    508,224.38x = 677,540.53 × 677,540.53
  4. Step 4: Simplify right side
    508,224.38x = 459,061,171,486.53
  5. Step 5: Solve for x
    x = 459,061,171,486.53/508,224.38
  6. Step 6: Final answer
    x = 903,264.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.