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Finding the Third Proportional to 320,497.50 and 683,899.88

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Solution

The third proportional to 320,497.50 and 683,899.88 is: 1,459,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,497.50 : 683,899.88 = 683,899.88 : x
  2. Step 2: Convert to fraction form
    320,497.50/683,899.88 = 683,899.88/x
  3. Step 3: Cross multiply
    320,497.50x = 683,899.88 × 683,899.88
  4. Step 4: Simplify right side
    320,497.50x = 467,719,039,025.02
  5. Step 5: Solve for x
    x = 467,719,039,025.02/320,497.50
  6. Step 6: Final answer
    x = 1,459,353.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.