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Finding the Third Proportional to 302,626.13 and 408,729.80

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Solution

The third proportional to 302,626.13 and 408,729.80 is: 552,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,626.13 : 408,729.80 = 408,729.80 : x
  2. Step 2: Convert to fraction form
    302,626.13/408,729.80 = 408,729.80/x
  3. Step 3: Cross multiply
    302,626.13x = 408,729.80 × 408,729.80
  4. Step 4: Simplify right side
    302,626.13x = 167,060,046,853.48
  5. Step 5: Solve for x
    x = 167,060,046,853.48/302,626.13
  6. Step 6: Final answer
    x = 552,034.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.