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Finding the Third Proportional to 508,225 and 677,541.25

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Solution

The third proportional to 508,225 and 677,541.25 is: 903,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,225 : 677,541.25 = 677,541.25 : x
  2. Step 2: Convert to fraction form
    508,225/677,541.25 = 677,541.25/x
  3. Step 3: Cross multiply
    508,225x = 677,541.25 × 677,541.25
  4. Step 4: Simplify right side
    508,225x = 459,062,145,451.56
  5. Step 5: Solve for x
    x = 459,062,145,451.56/508,225
  6. Step 6: Final answer
    x = 903,265.57

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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.