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Finding the Third Proportional to 410.63 and 616.25

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Solution

The third proportional to 410.63 and 616.25 is: 924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.63 : 616.25 = 616.25 : x
  2. Step 2: Convert to fraction form
    410.63/616.25 = 616.25/x
  3. Step 3: Cross multiply
    410.63x = 616.25 × 616.25
  4. Step 4: Simplify right side
    410.63x = 379,764.06
  5. Step 5: Solve for x
    x = 379,764.06/410.63
  6. Step 6: Final answer
    x = 924.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.