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Finding the Third Proportional to 353,499 and 747,940.50

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Solution

The third proportional to 353,499 and 747,940.50 is: 1,582,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,499 : 747,940.50 = 747,940.50 : x
  2. Step 2: Convert to fraction form
    353,499/747,940.50 = 747,940.50/x
  3. Step 3: Cross multiply
    353,499x = 747,940.50 × 747,940.50
  4. Step 4: Simplify right side
    353,499x = 559,414,991,540.25
  5. Step 5: Solve for x
    x = 559,414,991,540.25/353,499
  6. Step 6: Final answer
    x = 1,582,507.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.