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Finding the Third Proportional to 508,189.50 and 743,184

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Solution

The third proportional to 508,189.50 and 743,184 is: 1,086,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,189.50 : 743,184 = 743,184 : x
  2. Step 2: Convert to fraction form
    508,189.50/743,184 = 743,184/x
  3. Step 3: Cross multiply
    508,189.50x = 743,184 × 743,184
  4. Step 4: Simplify right side
    508,189.50x = 552,322,457,856
  5. Step 5: Solve for x
    x = 552,322,457,856/508,189.50
  6. Step 6: Final answer
    x = 1,086,843.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.