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Finding the Third Proportional to 342,486 and 743,333

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Solution

The third proportional to 342,486 and 743,333 is: 1,613,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,486 : 743,333 = 743,333 : x
  2. Step 2: Convert to fraction form
    342,486/743,333 = 743,333/x
  3. Step 3: Cross multiply
    342,486x = 743,333 × 743,333
  4. Step 4: Simplify right side
    342,486x = 552,543,948,889
  5. Step 5: Solve for x
    x = 552,543,948,889/342,486
  6. Step 6: Final answer
    x = 1,613,332.95

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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.