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Finding the Third Proportional to 325,134 and 431,527.50

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Solution

The third proportional to 325,134 and 431,527.50 is: 572,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,134 : 431,527.50 = 431,527.50 : x
  2. Step 2: Convert to fraction form
    325,134/431,527.50 = 431,527.50/x
  3. Step 3: Cross multiply
    325,134x = 431,527.50 × 431,527.50
  4. Step 4: Simplify right side
    325,134x = 186,215,983,256.25
  5. Step 5: Solve for x
    x = 186,215,983,256.25/325,134
  6. Step 6: Final answer
    x = 572,736.11

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.