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Finding the Third Proportional to 381,549.75 and 590,526.75

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Solution

The third proportional to 381,549.75 and 590,526.75 is: 913,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,549.75 : 590,526.75 = 590,526.75 : x
  2. Step 2: Convert to fraction form
    381,549.75/590,526.75 = 590,526.75/x
  3. Step 3: Cross multiply
    381,549.75x = 590,526.75 × 590,526.75
  4. Step 4: Simplify right side
    381,549.75x = 348,721,842,465.56
  5. Step 5: Solve for x
    x = 348,721,842,465.56/381,549.75
  6. Step 6: Final answer
    x = 913,961.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.