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Finding the Third Proportional to 456 and 526

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Solution

The third proportional to 456 and 526 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 526 = 526 : x
  2. Step 2: Convert to fraction form
    456/526 = 526/x
  3. Step 3: Cross multiply
    456x = 526 × 526
  4. Step 4: Simplify right side
    456x = 276,676
  5. Step 5: Solve for x
    x = 276,676/456
  6. Step 6: Final answer
    x = 606.75

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.