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Finding the Third Proportional to 455.06 and 614.91

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Solution

The third proportional to 455.06 and 614.91 is: 830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 614.91 = 614.91 : x
  2. Step 2: Convert to fraction form
    455.06/614.91 = 614.91/x
  3. Step 3: Cross multiply
    455.06x = 614.91 × 614.91
  4. Step 4: Simplify right side
    455.06x = 378,109.70
  5. Step 5: Solve for x
    x = 378,109.70/455.06
  6. Step 6: Final answer
    x = 830.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.