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Finding the Third Proportional to 508,228 and 677,544

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Solution

The third proportional to 508,228 and 677,544 is: 903,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,228 : 677,544 = 677,544 : x
  2. Step 2: Convert to fraction form
    508,228/677,544 = 677,544/x
  3. Step 3: Cross multiply
    508,228x = 677,544 × 677,544
  4. Step 4: Simplify right side
    508,228x = 459,065,871,936
  5. Step 5: Solve for x
    x = 459,065,871,936/508,228
  6. Step 6: Final answer
    x = 903,267.57

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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.