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Finding the Third Proportional to 208,080 and 455,808

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Solution

The third proportional to 208,080 and 455,808 is: 998,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,080 : 455,808 = 455,808 : x
  2. Step 2: Convert to fraction form
    208,080/455,808 = 455,808/x
  3. Step 3: Cross multiply
    208,080x = 455,808 × 455,808
  4. Step 4: Simplify right side
    208,080x = 207,760,932,864
  5. Step 5: Solve for x
    x = 207,760,932,864/208,080
  6. Step 6: Final answer
    x = 998,466.61

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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.