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Finding the Third Proportional to 270,941.20 and 590,140.69

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Solution

The third proportional to 270,941.20 and 590,140.69 is: 1,285,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941.20 : 590,140.69 = 590,140.69 : x
  2. Step 2: Convert to fraction form
    270,941.20/590,140.69 = 590,140.69/x
  3. Step 3: Cross multiply
    270,941.20x = 590,140.69 × 590,140.69
  4. Step 4: Simplify right side
    270,941.20x = 348,266,031,042.97
  5. Step 5: Solve for x
    x = 348,266,031,042.97/270,941.20
  6. Step 6: Final answer
    x = 1,285,393.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.