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Finding the Third Proportional to 410.06 and 619.37

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Solution

The third proportional to 410.06 and 619.37 is: 935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 619.37 = 619.37 : x
  2. Step 2: Convert to fraction form
    410.06/619.37 = 619.37/x
  3. Step 3: Cross multiply
    410.06x = 619.37 × 619.37
  4. Step 4: Simplify right side
    410.06x = 383,613.29
  5. Step 5: Solve for x
    x = 383,613.29/410.06
  6. Step 6: Final answer
    x = 935.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.