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Finding the Third Proportional to 703.25 and 1,514.63

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Solution

The third proportional to 703.25 and 1,514.63 is: 3,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,514.63 = 1,514.63 : x
  2. Step 2: Convert to fraction form
    703.25/1,514.63 = 1,514.63/x
  3. Step 3: Cross multiply
    703.25x = 1,514.63 × 1,514.63
  4. Step 4: Simplify right side
    703.25x = 2,294,088.89
  5. Step 5: Solve for x
    x = 2,294,088.89/703.25
  6. Step 6: Final answer
    x = 3,262.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.