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Finding the Third Proportional to 703.03 and 1,522.50

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Solution

The third proportional to 703.03 and 1,522.50 is: 3,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.03 : 1,522.50 = 1,522.50 : x
  2. Step 2: Convert to fraction form
    703.03/1,522.50 = 1,522.50/x
  3. Step 3: Cross multiply
    703.03x = 1,522.50 × 1,522.50
  4. Step 4: Simplify right side
    703.03x = 2,318,006.25
  5. Step 5: Solve for x
    x = 2,318,006.25/703.03
  6. Step 6: Final answer
    x = 3,297.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.