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Finding the Third Proportional to 335,409 and 501,783.75

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Solution

The third proportional to 335,409 and 501,783.75 is: 750,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,409 : 501,783.75 = 501,783.75 : x
  2. Step 2: Convert to fraction form
    335,409/501,783.75 = 501,783.75/x
  3. Step 3: Cross multiply
    335,409x = 501,783.75 × 501,783.75
  4. Step 4: Simplify right side
    335,409x = 251,786,931,764.06
  5. Step 5: Solve for x
    x = 251,786,931,764.06/335,409
  6. Step 6: Final answer
    x = 750,686.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.