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Finding the Third Proportional to 765.38 and 1,094.63

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Solution

The third proportional to 765.38 and 1,094.63 is: 1,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.38 : 1,094.63 = 1,094.63 : x
  2. Step 2: Convert to fraction form
    765.38/1,094.63 = 1,094.63/x
  3. Step 3: Cross multiply
    765.38x = 1,094.63 × 1,094.63
  4. Step 4: Simplify right side
    765.38x = 1,198,203.89
  5. Step 5: Solve for x
    x = 1,198,203.89/765.38
  6. Step 6: Final answer
    x = 1,565.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.