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Finding the Third Proportional to 301,644 and 663,062

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Solution

The third proportional to 301,644 and 663,062 is: 1,457,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,644 : 663,062 = 663,062 : x
  2. Step 2: Convert to fraction form
    301,644/663,062 = 663,062/x
  3. Step 3: Cross multiply
    301,644x = 663,062 × 663,062
  4. Step 4: Simplify right side
    301,644x = 439,651,215,844
  5. Step 5: Solve for x
    x = 439,651,215,844/301,644
  6. Step 6: Final answer
    x = 1,457,516.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.