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Finding the Third Proportional to 229,392 and 539,777.25

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Solution

The third proportional to 229,392 and 539,777.25 is: 1,270,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,392 : 539,777.25 = 539,777.25 : x
  2. Step 2: Convert to fraction form
    229,392/539,777.25 = 539,777.25/x
  3. Step 3: Cross multiply
    229,392x = 539,777.25 × 539,777.25
  4. Step 4: Simplify right side
    229,392x = 291,359,479,617.56
  5. Step 5: Solve for x
    x = 291,359,479,617.56/229,392
  6. Step 6: Final answer
    x = 1,270,137.93

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.