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Finding the Third Proportional to 346,388 and 541,450

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Solution

The third proportional to 346,388 and 541,450 is: 846,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,388 : 541,450 = 541,450 : x
  2. Step 2: Convert to fraction form
    346,388/541,450 = 541,450/x
  3. Step 3: Cross multiply
    346,388x = 541,450 × 541,450
  4. Step 4: Simplify right side
    346,388x = 293,168,102,500
  5. Step 5: Solve for x
    x = 293,168,102,500/346,388
  6. Step 6: Final answer
    x = 846,357.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.