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Finding the Third Proportional to 336,355 and 735,778

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Solution

The third proportional to 336,355 and 735,778 is: 1,609,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,355 : 735,778 = 735,778 : x
  2. Step 2: Convert to fraction form
    336,355/735,778 = 735,778/x
  3. Step 3: Cross multiply
    336,355x = 735,778 × 735,778
  4. Step 4: Simplify right side
    336,355x = 541,369,265,284
  5. Step 5: Solve for x
    x = 541,369,265,284/336,355
  6. Step 6: Final answer
    x = 1,609,517.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.