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Finding the Third Proportional to 456 and 801.75

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Solution

The third proportional to 456 and 801.75 is: 1,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 801.75 = 801.75 : x
  2. Step 2: Convert to fraction form
    456/801.75 = 801.75/x
  3. Step 3: Cross multiply
    456x = 801.75 × 801.75
  4. Step 4: Simplify right side
    456x = 642,803.06
  5. Step 5: Solve for x
    x = 642,803.06/456
  6. Step 6: Final answer
    x = 1,409.66

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.