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Finding the Third Proportional to 455,716.13 and 997,241.63

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Solution

The third proportional to 455,716.13 and 997,241.63 is: 2,182,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,716.13 : 997,241.63 = 997,241.63 : x
  2. Step 2: Convert to fraction form
    455,716.13/997,241.63 = 997,241.63/x
  3. Step 3: Cross multiply
    455,716.13x = 997,241.63 × 997,241.63
  4. Step 4: Simplify right side
    455,716.13x = 994,490,858,632.64
  5. Step 5: Solve for x
    x = 994,490,858,632.64/455,716.13
  6. Step 6: Final answer
    x = 2,182,259.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.