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Finding the Third Proportional to 333,344 and 508,217

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Solution

The third proportional to 333,344 and 508,217 is: 774,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,344 : 508,217 = 508,217 : x
  2. Step 2: Convert to fraction form
    333,344/508,217 = 508,217/x
  3. Step 3: Cross multiply
    333,344x = 508,217 × 508,217
  4. Step 4: Simplify right side
    333,344x = 258,284,519,089
  5. Step 5: Solve for x
    x = 258,284,519,089/333,344
  6. Step 6: Final answer
    x = 774,828.76

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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.