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Finding the Third Proportional to 335,180.53 and 505,903.22

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Solution

The third proportional to 335,180.53 and 505,903.22 is: 763,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,180.53 : 505,903.22 = 505,903.22 : x
  2. Step 2: Convert to fraction form
    335,180.53/505,903.22 = 505,903.22/x
  3. Step 3: Cross multiply
    335,180.53x = 505,903.22 × 505,903.22
  4. Step 4: Simplify right side
    335,180.53x = 255,938,066,741.61
  5. Step 5: Solve for x
    x = 255,938,066,741.61/335,180.53
  6. Step 6: Final answer
    x = 763,582.73

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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.