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Finding the Third Proportional to 384,920.50 and 603,816

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Solution

The third proportional to 384,920.50 and 603,816 is: 947,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,920.50 : 603,816 = 603,816 : x
  2. Step 2: Convert to fraction form
    384,920.50/603,816 = 603,816/x
  3. Step 3: Cross multiply
    384,920.50x = 603,816 × 603,816
  4. Step 4: Simplify right side
    384,920.50x = 364,593,761,856
  5. Step 5: Solve for x
    x = 364,593,761,856/384,920.50
  6. Step 6: Final answer
    x = 947,192.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.