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Finding the Third Proportional to 220,748.34 and 476,774.72

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Solution

The third proportional to 220,748.34 and 476,774.72 is: 1,029,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,748.34 : 476,774.72 = 476,774.72 : x
  2. Step 2: Convert to fraction form
    220,748.34/476,774.72 = 476,774.72/x
  3. Step 3: Cross multiply
    220,748.34x = 476,774.72 × 476,774.72
  4. Step 4: Simplify right side
    220,748.34x = 227,314,132,439.14
  5. Step 5: Solve for x
    x = 227,314,132,439.14/220,748.34
  6. Step 6: Final answer
    x = 1,029,743.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.