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Finding the Third Proportional to 790.07 and 1,156.54

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Solution

The third proportional to 790.07 and 1,156.54 is: 1,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.07 : 1,156.54 = 1,156.54 : x
  2. Step 2: Convert to fraction form
    790.07/1,156.54 = 1,156.54/x
  3. Step 3: Cross multiply
    790.07x = 1,156.54 × 1,156.54
  4. Step 4: Simplify right side
    790.07x = 1,337,593.90
  5. Step 5: Solve for x
    x = 1,337,593.90/790.07
  6. Step 6: Final answer
    x = 1,693.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.