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Finding the Third Proportional to 224,151 and 483,724.50

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Solution

The third proportional to 224,151 and 483,724.50 is: 1,043,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,151 : 483,724.50 = 483,724.50 : x
  2. Step 2: Convert to fraction form
    224,151/483,724.50 = 483,724.50/x
  3. Step 3: Cross multiply
    224,151x = 483,724.50 × 483,724.50
  4. Step 4: Simplify right side
    224,151x = 233,989,391,900.25
  5. Step 5: Solve for x
    x = 233,989,391,900.25/224,151
  6. Step 6: Final answer
    x = 1,043,891.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.