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Finding the Third Proportional to 333,524 and 517,215

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Solution

The third proportional to 333,524 and 517,215 is: 802,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,524 : 517,215 = 517,215 : x
  2. Step 2: Convert to fraction form
    333,524/517,215 = 517,215/x
  3. Step 3: Cross multiply
    333,524x = 517,215 × 517,215
  4. Step 4: Simplify right side
    333,524x = 267,511,356,225
  5. Step 5: Solve for x
    x = 267,511,356,225/333,524
  6. Step 6: Final answer
    x = 802,075.28

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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.