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Finding the Third Proportional to 426,900 and 641,484

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Solution

The third proportional to 426,900 and 641,484 is: 963,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,900 : 641,484 = 641,484 : x
  2. Step 2: Convert to fraction form
    426,900/641,484 = 641,484/x
  3. Step 3: Cross multiply
    426,900x = 641,484 × 641,484
  4. Step 4: Simplify right side
    426,900x = 411,501,722,256
  5. Step 5: Solve for x
    x = 411,501,722,256/426,900
  6. Step 6: Final answer
    x = 963,930.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.