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Finding the Third Proportional to 420,552.75 and 604,513.13

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Solution

The third proportional to 420,552.75 and 604,513.13 is: 868,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,552.75 : 604,513.13 = 604,513.13 : x
  2. Step 2: Convert to fraction form
    420,552.75/604,513.13 = 604,513.13/x
  3. Step 3: Cross multiply
    420,552.75x = 604,513.13 × 604,513.13
  4. Step 4: Simplify right side
    420,552.75x = 365,436,118,297.27
  5. Step 5: Solve for x
    x = 365,436,118,297.27/420,552.75
  6. Step 6: Final answer
    x = 868,942.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.