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Finding the Third Proportional to 236,401.03 and 505,948.78

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Solution

The third proportional to 236,401.03 and 505,948.78 is: 1,082,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,401.03 : 505,948.78 = 505,948.78 : x
  2. Step 2: Convert to fraction form
    236,401.03/505,948.78 = 505,948.78/x
  3. Step 3: Cross multiply
    236,401.03x = 505,948.78 × 505,948.78
  4. Step 4: Simplify right side
    236,401.03x = 255,984,169,248.36
  5. Step 5: Solve for x
    x = 255,984,169,248.36/236,401.03
  6. Step 6: Final answer
    x = 1,082,838.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.