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Finding the Third Proportional to 232,291.50 and 514,327.50

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Solution

The third proportional to 232,291.50 and 514,327.50 is: 1,138,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,291.50 : 514,327.50 = 514,327.50 : x
  2. Step 2: Convert to fraction form
    232,291.50/514,327.50 = 514,327.50/x
  3. Step 3: Cross multiply
    232,291.50x = 514,327.50 × 514,327.50
  4. Step 4: Simplify right side
    232,291.50x = 264,532,777,256.25
  5. Step 5: Solve for x
    x = 264,532,777,256.25/232,291.50
  6. Step 6: Final answer
    x = 1,138,796.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.