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Finding the Third Proportional to 224,749.13 and 490,915.13

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Solution

The third proportional to 224,749.13 and 490,915.13 is: 1,072,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,749.13 : 490,915.13 = 490,915.13 : x
  2. Step 2: Convert to fraction form
    224,749.13/490,915.13 = 490,915.13/x
  3. Step 3: Cross multiply
    224,749.13x = 490,915.13 × 490,915.13
  4. Step 4: Simplify right side
    224,749.13x = 240,997,659,953.77
  5. Step 5: Solve for x
    x = 240,997,659,953.77/224,749.13
  6. Step 6: Final answer
    x = 1,072,296.32

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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.