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Finding the Third Proportional to 185,336.63 and 406,758.75

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Solution

The third proportional to 185,336.63 and 406,758.75 is: 892,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,336.63 : 406,758.75 = 406,758.75 : x
  2. Step 2: Convert to fraction form
    185,336.63/406,758.75 = 406,758.75/x
  3. Step 3: Cross multiply
    185,336.63x = 406,758.75 × 406,758.75
  4. Step 4: Simplify right side
    185,336.63x = 165,452,680,701.56
  5. Step 5: Solve for x
    x = 165,452,680,701.56/185,336.63
  6. Step 6: Final answer
    x = 892,714.44

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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.