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Finding the Third Proportional to 208,286 and 457,531

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Solution

The third proportional to 208,286 and 457,531 is: 1,005,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286 : 457,531 = 457,531 : x
  2. Step 2: Convert to fraction form
    208,286/457,531 = 457,531/x
  3. Step 3: Cross multiply
    208,286x = 457,531 × 457,531
  4. Step 4: Simplify right side
    208,286x = 209,334,615,961
  5. Step 5: Solve for x
    x = 209,334,615,961/208,286
  6. Step 6: Final answer
    x = 1,005,034.50

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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.