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Finding the Third Proportional to 362,699 and 544,960

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Solution

The third proportional to 362,699 and 544,960 is: 818,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,699 : 544,960 = 544,960 : x
  2. Step 2: Convert to fraction form
    362,699/544,960 = 544,960/x
  3. Step 3: Cross multiply
    362,699x = 544,960 × 544,960
  4. Step 4: Simplify right side
    362,699x = 296,981,401,600
  5. Step 5: Solve for x
    x = 296,981,401,600/362,699
  6. Step 6: Final answer
    x = 818,809.54

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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.