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Finding the Third Proportional to 288,724.50 and 609,045

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Solution

The third proportional to 288,724.50 and 609,045 is: 1,284,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,724.50 : 609,045 = 609,045 : x
  2. Step 2: Convert to fraction form
    288,724.50/609,045 = 609,045/x
  3. Step 3: Cross multiply
    288,724.50x = 609,045 × 609,045
  4. Step 4: Simplify right side
    288,724.50x = 370,935,812,025
  5. Step 5: Solve for x
    x = 370,935,812,025/288,724.50
  6. Step 6: Final answer
    x = 1,284,739.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.