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Finding the Third Proportional to 465 and 558

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Solution

The third proportional to 465 and 558 is: 669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 558 = 558 : x
  2. Step 2: Convert to fraction form
    465/558 = 558/x
  3. Step 3: Cross multiply
    465x = 558 × 558
  4. Step 4: Simplify right side
    465x = 311,364
  5. Step 5: Solve for x
    x = 311,364/465
  6. Step 6: Final answer
    x = 669.60

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.