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Finding the Third Proportional to 432,122.25 and 654,153.75

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Solution

The third proportional to 432,122.25 and 654,153.75 is: 990,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,122.25 : 654,153.75 = 654,153.75 : x
  2. Step 2: Convert to fraction form
    432,122.25/654,153.75 = 654,153.75/x
  3. Step 3: Cross multiply
    432,122.25x = 654,153.75 × 654,153.75
  4. Step 4: Simplify right side
    432,122.25x = 427,917,128,639.06
  5. Step 5: Solve for x
    x = 427,917,128,639.06/432,122.25
  6. Step 6: Final answer
    x = 990,268.68

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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.