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Finding the Third Proportional to 240,651.75 and 515,467.13

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Solution

The third proportional to 240,651.75 and 515,467.13 is: 1,104,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,651.75 : 515,467.13 = 515,467.13 : x
  2. Step 2: Convert to fraction form
    240,651.75/515,467.13 = 515,467.13/x
  3. Step 3: Cross multiply
    240,651.75x = 515,467.13 × 515,467.13
  4. Step 4: Simplify right side
    240,651.75x = 265,706,356,955.77
  5. Step 5: Solve for x
    x = 265,706,356,955.77/240,651.75
  6. Step 6: Final answer
    x = 1,104,111.47

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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.