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Finding the Third Proportional to 272,054.63 and 588,433.13

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Solution

The third proportional to 272,054.63 and 588,433.13 is: 1,272,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,054.63 : 588,433.13 = 588,433.13 : x
  2. Step 2: Convert to fraction form
    272,054.63/588,433.13 = 588,433.13/x
  3. Step 3: Cross multiply
    272,054.63x = 588,433.13 × 588,433.13
  4. Step 4: Simplify right side
    272,054.63x = 346,253,542,597.27
  5. Step 5: Solve for x
    x = 346,253,542,597.27/272,054.63
  6. Step 6: Final answer
    x = 1,272,735.37

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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.