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Finding the Third Proportional to 605,719.50 and 933,851.25

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Solution

The third proportional to 605,719.50 and 933,851.25 is: 1,439,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,719.50 : 933,851.25 = 933,851.25 : x
  2. Step 2: Convert to fraction form
    605,719.50/933,851.25 = 933,851.25/x
  3. Step 3: Cross multiply
    605,719.50x = 933,851.25 × 933,851.25
  4. Step 4: Simplify right side
    605,719.50x = 872,078,157,126.56
  5. Step 5: Solve for x
    x = 872,078,157,126.56/605,719.50
  6. Step 6: Final answer
    x = 1,439,739.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.