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Finding the Third Proportional to 301,632 and 663,036

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Solution

The third proportional to 301,632 and 663,036 is: 1,457,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,632 : 663,036 = 663,036 : x
  2. Step 2: Convert to fraction form
    301,632/663,036 = 663,036/x
  3. Step 3: Cross multiply
    301,632x = 663,036 × 663,036
  4. Step 4: Simplify right side
    301,632x = 439,616,737,296
  5. Step 5: Solve for x
    x = 439,616,737,296/301,632
  6. Step 6: Final answer
    x = 1,457,460.54

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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.