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Finding the Third Proportional to 577.31 and 917.63

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Solution

The third proportional to 577.31 and 917.63 is: 1,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.31 : 917.63 = 917.63 : x
  2. Step 2: Convert to fraction form
    577.31/917.63 = 917.63/x
  3. Step 3: Cross multiply
    577.31x = 917.63 × 917.63
  4. Step 4: Simplify right side
    577.31x = 842,035.64
  5. Step 5: Solve for x
    x = 842,035.64/577.31
  6. Step 6: Final answer
    x = 1,458.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.