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Finding the Third Proportional to 208,254 and 446,640

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Solution

The third proportional to 208,254 and 446,640 is: 957,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,254 : 446,640 = 446,640 : x
  2. Step 2: Convert to fraction form
    208,254/446,640 = 446,640/x
  3. Step 3: Cross multiply
    208,254x = 446,640 × 446,640
  4. Step 4: Simplify right side
    208,254x = 199,487,289,600
  5. Step 5: Solve for x
    x = 199,487,289,600/208,254
  6. Step 6: Final answer
    x = 957,903.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.