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Finding the Third Proportional to 586.75 and 829.88

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Solution

The third proportional to 586.75 and 829.88 is: 1,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.75 : 829.88 = 829.88 : x
  2. Step 2: Convert to fraction form
    586.75/829.88 = 829.88/x
  3. Step 3: Cross multiply
    586.75x = 829.88 × 829.88
  4. Step 4: Simplify right side
    586.75x = 688,692.52
  5. Step 5: Solve for x
    x = 688,692.52/586.75
  6. Step 6: Final answer
    x = 1,173.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.