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Finding the Third Proportional to 224,732.53 and 482,816.25

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Solution

The third proportional to 224,732.53 and 482,816.25 is: 1,037,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,732.53 : 482,816.25 = 482,816.25 : x
  2. Step 2: Convert to fraction form
    224,732.53/482,816.25 = 482,816.25/x
  3. Step 3: Cross multiply
    224,732.53x = 482,816.25 × 482,816.25
  4. Step 4: Simplify right side
    224,732.53x = 233,111,531,264.06
  5. Step 5: Solve for x
    x = 233,111,531,264.06/224,732.53
  6. Step 6: Final answer
    x = 1,037,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.