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Finding the Third Proportional to 280,239.75 and 420,708.94

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Solution

The third proportional to 280,239.75 and 420,708.94 is: 631,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,239.75 : 420,708.94 = 420,708.94 : x
  2. Step 2: Convert to fraction form
    280,239.75/420,708.94 = 420,708.94/x
  3. Step 3: Cross multiply
    280,239.75x = 420,708.94 × 420,708.94
  4. Step 4: Simplify right side
    280,239.75x = 176,996,010,092.38
  5. Step 5: Solve for x
    x = 176,996,010,092.38/280,239.75
  6. Step 6: Final answer
    x = 631,587.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.