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Finding the Third Proportional to 700.03 and 1,495.97

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Solution

The third proportional to 700.03 and 1,495.97 is: 3,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.03 : 1,495.97 = 1,495.97 : x
  2. Step 2: Convert to fraction form
    700.03/1,495.97 = 1,495.97/x
  3. Step 3: Cross multiply
    700.03x = 1,495.97 × 1,495.97
  4. Step 4: Simplify right side
    700.03x = 2,237,922.50
  5. Step 5: Solve for x
    x = 2,237,922.50/700.03
  6. Step 6: Final answer
    x = 3,196.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.