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Finding the Third Proportional to 203,547 and 445,974

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Solution

The third proportional to 203,547 and 445,974 is: 977,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,547 : 445,974 = 445,974 : x
  2. Step 2: Convert to fraction form
    203,547/445,974 = 445,974/x
  3. Step 3: Cross multiply
    203,547x = 445,974 × 445,974
  4. Step 4: Simplify right side
    203,547x = 198,892,808,676
  5. Step 5: Solve for x
    x = 198,892,808,676/203,547
  6. Step 6: Final answer
    x = 977,134.56

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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.