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Finding the Third Proportional to 357,585.38 and 540,023.25

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Solution

The third proportional to 357,585.38 and 540,023.25 is: 815,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,585.38 : 540,023.25 = 540,023.25 : x
  2. Step 2: Convert to fraction form
    357,585.38/540,023.25 = 540,023.25/x
  3. Step 3: Cross multiply
    357,585.38x = 540,023.25 × 540,023.25
  4. Step 4: Simplify right side
    357,585.38x = 291,625,110,540.56
  5. Step 5: Solve for x
    x = 291,625,110,540.56/357,585.38
  6. Step 6: Final answer
    x = 815,539.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.