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Finding the Third Proportional to 586.25 and 849.25

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Solution

The third proportional to 586.25 and 849.25 is: 1,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.25 : 849.25 = 849.25 : x
  2. Step 2: Convert to fraction form
    586.25/849.25 = 849.25/x
  3. Step 3: Cross multiply
    586.25x = 849.25 × 849.25
  4. Step 4: Simplify right side
    586.25x = 721,225.56
  5. Step 5: Solve for x
    x = 721,225.56/586.25
  6. Step 6: Final answer
    x = 1,230.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.