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Finding the Third Proportional to 533,792.25 and 1,166,080.50

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Solution

The third proportional to 533,792.25 and 1,166,080.50 is: 2,547,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,792.25 : 1,166,080.50 = 1,166,080.50 : x
  2. Step 2: Convert to fraction form
    533,792.25/1,166,080.50 = 1,166,080.50/x
  3. Step 3: Cross multiply
    533,792.25x = 1,166,080.50 × 1,166,080.50
  4. Step 4: Simplify right side
    533,792.25x = 1,359,743,732,480.25
  5. Step 5: Solve for x
    x = 1,359,743,732,480.25/533,792.25
  6. Step 6: Final answer
    x = 2,547,327.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.