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Finding the Third Proportional to 450,316.97 and 696,513.94

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Solution

The third proportional to 450,316.97 and 696,513.94 is: 1,077,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,316.97 : 696,513.94 = 696,513.94 : x
  2. Step 2: Convert to fraction form
    450,316.97/696,513.94 = 696,513.94/x
  3. Step 3: Cross multiply
    450,316.97x = 696,513.94 × 696,513.94
  4. Step 4: Simplify right side
    450,316.97x = 485,131,665,131.75
  5. Step 5: Solve for x
    x = 485,131,665,131.75/450,316.97
  6. Step 6: Final answer
    x = 1,077,311.54

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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.