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Finding the Third Proportional to 404.56 and 607.23

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Solution

The third proportional to 404.56 and 607.23 is: 911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.56 : 607.23 = 607.23 : x
  2. Step 2: Convert to fraction form
    404.56/607.23 = 607.23/x
  3. Step 3: Cross multiply
    404.56x = 607.23 × 607.23
  4. Step 4: Simplify right side
    404.56x = 368,734.21
  5. Step 5: Solve for x
    x = 368,734.21/404.56
  6. Step 6: Final answer
    x = 911.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.