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Finding the Third Proportional to 621 and 753.75

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Solution

The third proportional to 621 and 753.75 is: 914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    621 : 753.75 = 753.75 : x
  2. Step 2: Convert to fraction form
    621/753.75 = 753.75/x
  3. Step 3: Cross multiply
    621x = 753.75 × 753.75
  4. Step 4: Simplify right side
    621x = 568,139.06
  5. Step 5: Solve for x
    x = 568,139.06/621
  6. Step 6: Final answer
    x = 914.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.