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Finding the Third Proportional to 569.63 and 637.13

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Solution

The third proportional to 569.63 and 637.13 is: 712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.63 : 637.13 = 637.13 : x
  2. Step 2: Convert to fraction form
    569.63/637.13 = 637.13/x
  3. Step 3: Cross multiply
    569.63x = 637.13 × 637.13
  4. Step 4: Simplify right side
    569.63x = 405,928.27
  5. Step 5: Solve for x
    x = 405,928.27/569.63
  6. Step 6: Final answer
    x = 712.62

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.