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Finding the Third Proportional to 507.19 and 809.06

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Solution

The third proportional to 507.19 and 809.06 is: 1,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.19 : 809.06 = 809.06 : x
  2. Step 2: Convert to fraction form
    507.19/809.06 = 809.06/x
  3. Step 3: Cross multiply
    507.19x = 809.06 × 809.06
  4. Step 4: Simplify right side
    507.19x = 654,582.13
  5. Step 5: Solve for x
    x = 654,582.13/507.19
  6. Step 6: Final answer
    x = 1,290.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.