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Finding the Third Proportional to 436.22 and 652.01

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Solution

The third proportional to 436.22 and 652.01 is: 974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.22 : 652.01 = 652.01 : x
  2. Step 2: Convert to fraction form
    436.22/652.01 = 652.01/x
  3. Step 3: Cross multiply
    436.22x = 652.01 × 652.01
  4. Step 4: Simplify right side
    436.22x = 425,114.19
  5. Step 5: Solve for x
    x = 425,114.19/436.22
  6. Step 6: Final answer
    x = 974.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.