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Finding the Third Proportional to 467,777.25 and 711,507.38

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Solution

The third proportional to 467,777.25 and 711,507.38 is: 1,082,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,777.25 : 711,507.38 = 711,507.38 : x
  2. Step 2: Convert to fraction form
    467,777.25/711,507.38 = 711,507.38/x
  3. Step 3: Cross multiply
    467,777.25x = 711,507.38 × 711,507.38
  4. Step 4: Simplify right side
    467,777.25x = 506,242,744,679.39
  5. Step 5: Solve for x
    x = 506,242,744,679.39/467,777.25
  6. Step 6: Final answer
    x = 1,082,230.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.