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Finding the Third Proportional to 323,371.50 and 680,229

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Solution

The third proportional to 323,371.50 and 680,229 is: 1,430,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,371.50 : 680,229 = 680,229 : x
  2. Step 2: Convert to fraction form
    323,371.50/680,229 = 680,229/x
  3. Step 3: Cross multiply
    323,371.50x = 680,229 × 680,229
  4. Step 4: Simplify right side
    323,371.50x = 462,711,492,441
  5. Step 5: Solve for x
    x = 462,711,492,441/323,371.50
  6. Step 6: Final answer
    x = 1,430,897.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.