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Finding the Third Proportional to 693.63 and 1,526.88

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Solution

The third proportional to 693.63 and 1,526.88 is: 3,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.63 : 1,526.88 = 1,526.88 : x
  2. Step 2: Convert to fraction form
    693.63/1,526.88 = 1,526.88/x
  3. Step 3: Cross multiply
    693.63x = 1,526.88 × 1,526.88
  4. Step 4: Simplify right side
    693.63x = 2,331,347.27
  5. Step 5: Solve for x
    x = 2,331,347.27/693.63
  6. Step 6: Final answer
    x = 3,361.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.