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Finding the Third Proportional to 586.41 and 845.02

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Solution

The third proportional to 586.41 and 845.02 is: 1,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.41 : 845.02 = 845.02 : x
  2. Step 2: Convert to fraction form
    586.41/845.02 = 845.02/x
  3. Step 3: Cross multiply
    586.41x = 845.02 × 845.02
  4. Step 4: Simplify right side
    586.41x = 714,051.41
  5. Step 5: Solve for x
    x = 714,051.41/586.41
  6. Step 6: Final answer
    x = 1,217.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.