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Finding the Third Proportional to 288,670.50 and 447,013.69

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Solution

The third proportional to 288,670.50 and 447,013.69 is: 692,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,670.50 : 447,013.69 = 447,013.69 : x
  2. Step 2: Convert to fraction form
    288,670.50/447,013.69 = 447,013.69/x
  3. Step 3: Cross multiply
    288,670.50x = 447,013.69 × 447,013.69
  4. Step 4: Simplify right side
    288,670.50x = 199,821,236,812.35
  5. Step 5: Solve for x
    x = 199,821,236,812.35/288,670.50
  6. Step 6: Final answer
    x = 692,212.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.