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Finding the Third Proportional to 323,124.75 and 452,799.75

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Solution

The third proportional to 323,124.75 and 452,799.75 is: 634,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,124.75 : 452,799.75 = 452,799.75 : x
  2. Step 2: Convert to fraction form
    323,124.75/452,799.75 = 452,799.75/x
  3. Step 3: Cross multiply
    323,124.75x = 452,799.75 × 452,799.75
  4. Step 4: Simplify right side
    323,124.75x = 205,027,613,600.06
  5. Step 5: Solve for x
    x = 205,027,613,600.06/323,124.75
  6. Step 6: Final answer
    x = 634,515.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.