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Finding the Third Proportional to 294,981.75 and 447,909.75

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Solution

The third proportional to 294,981.75 and 447,909.75 is: 680,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,981.75 : 447,909.75 = 447,909.75 : x
  2. Step 2: Convert to fraction form
    294,981.75/447,909.75 = 447,909.75/x
  3. Step 3: Cross multiply
    294,981.75x = 447,909.75 × 447,909.75
  4. Step 4: Simplify right side
    294,981.75x = 200,623,144,145.06
  5. Step 5: Solve for x
    x = 200,623,144,145.06/294,981.75
  6. Step 6: Final answer
    x = 680,120.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.