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Finding the Third Proportional to 302,011.03 and 662,148.42

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Solution

The third proportional to 302,011.03 and 662,148.42 is: 1,451,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,011.03 : 662,148.42 = 662,148.42 : x
  2. Step 2: Convert to fraction form
    302,011.03/662,148.42 = 662,148.42/x
  3. Step 3: Cross multiply
    302,011.03x = 662,148.42 × 662,148.42
  4. Step 4: Simplify right side
    302,011.03x = 438,440,532,591.55
  5. Step 5: Solve for x
    x = 438,440,532,591.55/302,011.03
  6. Step 6: Final answer
    x = 1,451,736.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.