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Finding the Third Proportional to 333,427.50 and 508,311

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Solution

The third proportional to 333,427.50 and 508,311 is: 774,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,427.50 : 508,311 = 508,311 : x
  2. Step 2: Convert to fraction form
    333,427.50/508,311 = 508,311/x
  3. Step 3: Cross multiply
    333,427.50x = 508,311 × 508,311
  4. Step 4: Simplify right side
    333,427.50x = 258,380,072,721
  5. Step 5: Solve for x
    x = 258,380,072,721/333,427.50
  6. Step 6: Final answer
    x = 774,921.30

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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.