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Finding the Third Proportional to 333,342 and 508,214

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Solution

The third proportional to 333,342 and 508,214 is: 774,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,342 : 508,214 = 508,214 : x
  2. Step 2: Convert to fraction form
    333,342/508,214 = 508,214/x
  3. Step 3: Cross multiply
    333,342x = 508,214 × 508,214
  4. Step 4: Simplify right side
    333,342x = 258,281,469,796
  5. Step 5: Solve for x
    x = 258,281,469,796/333,342
  6. Step 6: Final answer
    x = 774,824.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.