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Finding the Third Proportional to 508,233 and 677,553

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Solution

The third proportional to 508,233 and 677,553 is: 903,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,233 : 677,553 = 677,553 : x
  2. Step 2: Convert to fraction form
    508,233/677,553 = 677,553/x
  3. Step 3: Cross multiply
    508,233x = 677,553 × 677,553
  4. Step 4: Simplify right side
    508,233x = 459,078,067,809
  5. Step 5: Solve for x
    x = 459,078,067,809/508,233
  6. Step 6: Final answer
    x = 903,282.68

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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.