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Finding the Third Proportional to 333,766 and 488,075

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Solution

The third proportional to 333,766 and 488,075 is: 713,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,766 : 488,075 = 488,075 : x
  2. Step 2: Convert to fraction form
    333,766/488,075 = 488,075/x
  3. Step 3: Cross multiply
    333,766x = 488,075 × 488,075
  4. Step 4: Simplify right side
    333,766x = 238,217,205,625
  5. Step 5: Solve for x
    x = 238,217,205,625/333,766
  6. Step 6: Final answer
    x = 713,725.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.