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Finding the Third Proportional to 208,446.75 and 455,031

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Solution

The third proportional to 208,446.75 and 455,031 is: 993,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446.75 : 455,031 = 455,031 : x
  2. Step 2: Convert to fraction form
    208,446.75/455,031 = 455,031/x
  3. Step 3: Cross multiply
    208,446.75x = 455,031 × 455,031
  4. Step 4: Simplify right side
    208,446.75x = 207,053,210,961
  5. Step 5: Solve for x
    x = 207,053,210,961/208,446.75
  6. Step 6: Final answer
    x = 993,314.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.