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Finding the Third Proportional to 551,931.81 and 809,733.19

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Solution

The third proportional to 551,931.81 and 809,733.19 is: 1,187,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,931.81 : 809,733.19 = 809,733.19 : x
  2. Step 2: Convert to fraction form
    551,931.81/809,733.19 = 809,733.19/x
  3. Step 3: Cross multiply
    551,931.81x = 809,733.19 × 809,733.19
  4. Step 4: Simplify right side
    551,931.81x = 655,667,834,938.91
  5. Step 5: Solve for x
    x = 655,667,834,938.91/551,931.81
  6. Step 6: Final answer
    x = 1,187,950.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.