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Finding the Third Proportional to 455.63 and 970.31

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Solution

The third proportional to 455.63 and 970.31 is: 2,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 970.31 = 970.31 : x
  2. Step 2: Convert to fraction form
    455.63/970.31 = 970.31/x
  3. Step 3: Cross multiply
    455.63x = 970.31 × 970.31
  4. Step 4: Simplify right side
    455.63x = 941,506.35
  5. Step 5: Solve for x
    x = 941,506.35/455.63
  6. Step 6: Final answer
    x = 2,066.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.