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Finding the Third Proportional to 252,056.25 and 533,630.25

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Solution

The third proportional to 252,056.25 and 533,630.25 is: 1,129,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,056.25 : 533,630.25 = 533,630.25 : x
  2. Step 2: Convert to fraction form
    252,056.25/533,630.25 = 533,630.25/x
  3. Step 3: Cross multiply
    252,056.25x = 533,630.25 × 533,630.25
  4. Step 4: Simplify right side
    252,056.25x = 284,761,243,715.06
  5. Step 5: Solve for x
    x = 284,761,243,715.06/252,056.25
  6. Step 6: Final answer
    x = 1,129,752.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.