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Finding the Third Proportional to 504,892 and 758,634

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Solution

The third proportional to 504,892 and 758,634 is: 1,139,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,892 : 758,634 = 758,634 : x
  2. Step 2: Convert to fraction form
    504,892/758,634 = 758,634/x
  3. Step 3: Cross multiply
    504,892x = 758,634 × 758,634
  4. Step 4: Simplify right side
    504,892x = 575,525,545,956
  5. Step 5: Solve for x
    x = 575,525,545,956/504,892
  6. Step 6: Final answer
    x = 1,139,898.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.