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Finding the Third Proportional to 323,716.50 and 506,742.75

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Solution

The third proportional to 323,716.50 and 506,742.75 is: 793,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716.50 : 506,742.75 = 506,742.75 : x
  2. Step 2: Convert to fraction form
    323,716.50/506,742.75 = 506,742.75/x
  3. Step 3: Cross multiply
    323,716.50x = 506,742.75 × 506,742.75
  4. Step 4: Simplify right side
    323,716.50x = 256,788,214,677.56
  5. Step 5: Solve for x
    x = 256,788,214,677.56/323,716.50
  6. Step 6: Final answer
    x = 793,250.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.