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Finding the Third Proportional to 586.13 and 934.88

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Solution

The third proportional to 586.13 and 934.88 is: 1,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 934.88 = 934.88 : x
  2. Step 2: Convert to fraction form
    586.13/934.88 = 934.88/x
  3. Step 3: Cross multiply
    586.13x = 934.88 × 934.88
  4. Step 4: Simplify right side
    586.13x = 873,991.27
  5. Step 5: Solve for x
    x = 873,991.27/586.13
  6. Step 6: Final answer
    x = 1,491.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.