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Finding the Third Proportional to 398,426 and 600,974

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Solution

The third proportional to 398,426 and 600,974 is: 906,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,426 : 600,974 = 600,974 : x
  2. Step 2: Convert to fraction form
    398,426/600,974 = 600,974/x
  3. Step 3: Cross multiply
    398,426x = 600,974 × 600,974
  4. Step 4: Simplify right side
    398,426x = 361,169,748,676
  5. Step 5: Solve for x
    x = 361,169,748,676/398,426
  6. Step 6: Final answer
    x = 906,491.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.