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Finding the Third Proportional to 224,356 and 490,960

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Solution

The third proportional to 224,356 and 490,960 is: 1,074,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,356 : 490,960 = 490,960 : x
  2. Step 2: Convert to fraction form
    224,356/490,960 = 490,960/x
  3. Step 3: Cross multiply
    224,356x = 490,960 × 490,960
  4. Step 4: Simplify right side
    224,356x = 241,041,721,600
  5. Step 5: Solve for x
    x = 241,041,721,600/224,356
  6. Step 6: Final answer
    x = 1,074,371.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.