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Finding the Third Proportional to 508,225.50 and 677,542

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Solution

The third proportional to 508,225.50 and 677,542 is: 903,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,225.50 : 677,542 = 677,542 : x
  2. Step 2: Convert to fraction form
    508,225.50/677,542 = 677,542/x
  3. Step 3: Cross multiply
    508,225.50x = 677,542 × 677,542
  4. Step 4: Simplify right side
    508,225.50x = 459,063,161,764
  5. Step 5: Solve for x
    x = 459,063,161,764/508,225.50
  6. Step 6: Final answer
    x = 903,266.68

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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.