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Finding the Third Proportional to 323,678.75 and 506,645.75

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Solution

The third proportional to 323,678.75 and 506,645.75 is: 793,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,678.75 : 506,645.75 = 506,645.75 : x
  2. Step 2: Convert to fraction form
    323,678.75/506,645.75 = 506,645.75/x
  3. Step 3: Cross multiply
    323,678.75x = 506,645.75 × 506,645.75
  4. Step 4: Simplify right side
    323,678.75x = 256,689,915,993.06
  5. Step 5: Solve for x
    x = 256,689,915,993.06/323,678.75
  6. Step 6: Final answer
    x = 793,039.14

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