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Finding the Third Proportional to 314.63 and 486.19

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Solution

The third proportional to 314.63 and 486.19 is: 751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 486.19 = 486.19 : x
  2. Step 2: Convert to fraction form
    314.63/486.19 = 486.19/x
  3. Step 3: Cross multiply
    314.63x = 486.19 × 486.19
  4. Step 4: Simplify right side
    314.63x = 236,378.29
  5. Step 5: Solve for x
    x = 236,378.29/314.63
  6. Step 6: Final answer
    x = 751.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.