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Finding the Third Proportional to 335,549.25 and 508,212

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Solution

The third proportional to 335,549.25 and 508,212 is: 769,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,549.25 : 508,212 = 508,212 : x
  2. Step 2: Convert to fraction form
    335,549.25/508,212 = 508,212/x
  3. Step 3: Cross multiply
    335,549.25x = 508,212 × 508,212
  4. Step 4: Simplify right side
    335,549.25x = 258,279,436,944
  5. Step 5: Solve for x
    x = 258,279,436,944/335,549.25
  6. Step 6: Final answer
    x = 769,721.40

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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.