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Finding the Third Proportional to 240,053.63 and 517,324.22

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Solution

The third proportional to 240,053.63 and 517,324.22 is: 1,114,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,053.63 : 517,324.22 = 517,324.22 : x
  2. Step 2: Convert to fraction form
    240,053.63/517,324.22 = 517,324.22/x
  3. Step 3: Cross multiply
    240,053.63x = 517,324.22 × 517,324.22
  4. Step 4: Simplify right side
    240,053.63x = 267,624,347,305.30
  5. Step 5: Solve for x
    x = 267,624,347,305.30/240,053.63
  6. Step 6: Final answer
    x = 1,114,852.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.