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Finding the Third Proportional to 341,794 and 736,178

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Solution

The third proportional to 341,794 and 736,178 is: 1,585,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,794 : 736,178 = 736,178 : x
  2. Step 2: Convert to fraction form
    341,794/736,178 = 736,178/x
  3. Step 3: Cross multiply
    341,794x = 736,178 × 736,178
  4. Step 4: Simplify right side
    341,794x = 541,958,047,684
  5. Step 5: Solve for x
    x = 541,958,047,684/341,794
  6. Step 6: Final answer
    x = 1,585,627.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.