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Finding the Third Proportional to 208,532 and 458,536

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Solution

The third proportional to 208,532 and 458,536 is: 1,008,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,532 : 458,536 = 458,536 : x
  2. Step 2: Convert to fraction form
    208,532/458,536 = 458,536/x
  3. Step 3: Cross multiply
    208,532x = 458,536 × 458,536
  4. Step 4: Simplify right side
    208,532x = 210,255,263,296
  5. Step 5: Solve for x
    x = 210,255,263,296/208,532
  6. Step 6: Final answer
    x = 1,008,263.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.