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Finding the Third Proportional to 260.25 and 410.63

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Solution

The third proportional to 260.25 and 410.63 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 410.63 = 410.63 : x
  2. Step 2: Convert to fraction form
    260.25/410.63 = 410.63/x
  3. Step 3: Cross multiply
    260.25x = 410.63 × 410.63
  4. Step 4: Simplify right side
    260.25x = 168,612.89
  5. Step 5: Solve for x
    x = 168,612.89/260.25
  6. Step 6: Final answer
    x = 647.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.