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Finding the Third Proportional to 338,458.50 and 735,273

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Solution

The third proportional to 338,458.50 and 735,273 is: 1,597,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,458.50 : 735,273 = 735,273 : x
  2. Step 2: Convert to fraction form
    338,458.50/735,273 = 735,273/x
  3. Step 3: Cross multiply
    338,458.50x = 735,273 × 735,273
  4. Step 4: Simplify right side
    338,458.50x = 540,626,384,529
  5. Step 5: Solve for x
    x = 540,626,384,529/338,458.50
  6. Step 6: Final answer
    x = 1,597,319.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.