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Finding the Third Proportional to 597.75 and 795.63

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Solution

The third proportional to 597.75 and 795.63 is: 1,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 795.63 = 795.63 : x
  2. Step 2: Convert to fraction form
    597.75/795.63 = 795.63/x
  3. Step 3: Cross multiply
    597.75x = 795.63 × 795.63
  4. Step 4: Simplify right side
    597.75x = 633,019.14
  5. Step 5: Solve for x
    x = 633,019.14/597.75
  6. Step 6: Final answer
    x = 1,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.