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Finding the Third Proportional to 504,950 and 758,733

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Solution

The third proportional to 504,950 and 758,733 is: 1,140,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,950 : 758,733 = 758,733 : x
  2. Step 2: Convert to fraction form
    504,950/758,733 = 758,733/x
  3. Step 3: Cross multiply
    504,950x = 758,733 × 758,733
  4. Step 4: Simplify right side
    504,950x = 575,675,765,289
  5. Step 5: Solve for x
    x = 575,675,765,289/504,950
  6. Step 6: Final answer
    x = 1,140,064.89

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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.