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Finding the Third Proportional to 233,650.69 and 510,546.94

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Solution

The third proportional to 233,650.69 and 510,546.94 is: 1,115,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,650.69 : 510,546.94 = 510,546.94 : x
  2. Step 2: Convert to fraction form
    233,650.69/510,546.94 = 510,546.94/x
  3. Step 3: Cross multiply
    233,650.69x = 510,546.94 × 510,546.94
  4. Step 4: Simplify right side
    233,650.69x = 260,658,175,390.63
  5. Step 5: Solve for x
    x = 260,658,175,390.63/233,650.69
  6. Step 6: Final answer
    x = 1,115,589.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.