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Finding the Third Proportional to 456 and 508

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Solution

The third proportional to 456 and 508 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 508 = 508 : x
  2. Step 2: Convert to fraction form
    456/508 = 508/x
  3. Step 3: Cross multiply
    456x = 508 × 508
  4. Step 4: Simplify right side
    456x = 258,064
  5. Step 5: Solve for x
    x = 258,064/456
  6. Step 6: Final answer
    x = 565.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.