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Finding the Third Proportional to 420.75 and 577.75

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Solution

The third proportional to 420.75 and 577.75 is: 793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 577.75 = 577.75 : x
  2. Step 2: Convert to fraction form
    420.75/577.75 = 577.75/x
  3. Step 3: Cross multiply
    420.75x = 577.75 × 577.75
  4. Step 4: Simplify right side
    420.75x = 333,795.06
  5. Step 5: Solve for x
    x = 333,795.06/420.75
  6. Step 6: Final answer
    x = 793.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.