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Finding the Third Proportional to 208,716 and 451,464

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Solution

The third proportional to 208,716 and 451,464 is: 976,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,716 : 451,464 = 451,464 : x
  2. Step 2: Convert to fraction form
    208,716/451,464 = 451,464/x
  3. Step 3: Cross multiply
    208,716x = 451,464 × 451,464
  4. Step 4: Simplify right side
    208,716x = 203,819,743,296
  5. Step 5: Solve for x
    x = 203,819,743,296/208,716
  6. Step 6: Final answer
    x = 976,541.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.