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Finding the Third Proportional to 455.63 and 666.35

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Solution

The third proportional to 455.63 and 666.35 is: 974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 666.35 = 666.35 : x
  2. Step 2: Convert to fraction form
    455.63/666.35 = 666.35/x
  3. Step 3: Cross multiply
    455.63x = 666.35 × 666.35
  4. Step 4: Simplify right side
    455.63x = 444,024.40
  5. Step 5: Solve for x
    x = 444,024.40/455.63
  6. Step 6: Final answer
    x = 974.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.