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Finding the Third Proportional to 320,826.76 and 696,492.42

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Solution

The third proportional to 320,826.76 and 696,492.42 is: 1,512,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,826.76 : 696,492.42 = 696,492.42 : x
  2. Step 2: Convert to fraction form
    320,826.76/696,492.42 = 696,492.42/x
  3. Step 3: Cross multiply
    320,826.76x = 696,492.42 × 696,492.42
  4. Step 4: Simplify right side
    320,826.76x = 485,101,693,729.30
  5. Step 5: Solve for x
    x = 485,101,693,729.30/320,826.76
  6. Step 6: Final answer
    x = 1,512,036.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.