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Finding the Third Proportional to 250,801.31 and 510,327.56

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Solution

The third proportional to 250,801.31 and 510,327.56 is: 1,038,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,801.31 : 510,327.56 = 510,327.56 : x
  2. Step 2: Convert to fraction form
    250,801.31/510,327.56 = 510,327.56/x
  3. Step 3: Cross multiply
    250,801.31x = 510,327.56 × 510,327.56
  4. Step 4: Simplify right side
    250,801.31x = 260,434,221,047.19
  5. Step 5: Solve for x
    x = 260,434,221,047.19/250,801.31
  6. Step 6: Final answer
    x = 1,038,408.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.