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Finding the Third Proportional to 398,624 and 596,836

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Solution

The third proportional to 398,624 and 596,836 is: 893,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,624 : 596,836 = 596,836 : x
  2. Step 2: Convert to fraction form
    398,624/596,836 = 596,836/x
  3. Step 3: Cross multiply
    398,624x = 596,836 × 596,836
  4. Step 4: Simplify right side
    398,624x = 356,213,210,896
  5. Step 5: Solve for x
    x = 356,213,210,896/398,624
  6. Step 6: Final answer
    x = 893,607.04

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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.