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Finding the Third Proportional to 243,023.63 and 501,589.13

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Solution

The third proportional to 243,023.63 and 501,589.13 is: 1,035,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,023.63 : 501,589.13 = 501,589.13 : x
  2. Step 2: Convert to fraction form
    243,023.63/501,589.13 = 501,589.13/x
  3. Step 3: Cross multiply
    243,023.63x = 501,589.13 × 501,589.13
  4. Step 4: Simplify right side
    243,023.63x = 251,591,650,318.27
  5. Step 5: Solve for x
    x = 251,591,650,318.27/243,023.63
  6. Step 6: Final answer
    x = 1,035,255.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.