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Finding the Third Proportional to 477,847.69 and 722,892.94

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Solution

The third proportional to 477,847.69 and 722,892.94 is: 1,093,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,847.69 : 722,892.94 = 722,892.94 : x
  2. Step 2: Convert to fraction form
    477,847.69/722,892.94 = 722,892.94/x
  3. Step 3: Cross multiply
    477,847.69x = 722,892.94 × 722,892.94
  4. Step 4: Simplify right side
    477,847.69x = 522,574,199,087.38
  5. Step 5: Solve for x
    x = 522,574,199,087.38/477,847.69
  6. Step 6: Final answer
    x = 1,093,599.93

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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.