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Finding the Third Proportional to 477,838.13 and 723,705.19

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Solution

The third proportional to 477,838.13 and 723,705.19 is: 1,096,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,838.13 : 723,705.19 = 723,705.19 : x
  2. Step 2: Convert to fraction form
    477,838.13/723,705.19 = 723,705.19/x
  3. Step 3: Cross multiply
    477,838.13x = 723,705.19 × 723,705.19
  4. Step 4: Simplify right side
    477,838.13x = 523,749,198,414.41
  5. Step 5: Solve for x
    x = 523,749,198,414.41/477,838.13
  6. Step 6: Final answer
    x = 1,096,080.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.