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Finding the Third Proportional to 346,736 and 514,812

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Solution

The third proportional to 346,736 and 514,812 is: 764,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,736 : 514,812 = 514,812 : x
  2. Step 2: Convert to fraction form
    346,736/514,812 = 514,812/x
  3. Step 3: Cross multiply
    346,736x = 514,812 × 514,812
  4. Step 4: Simplify right side
    346,736x = 265,031,395,344
  5. Step 5: Solve for x
    x = 265,031,395,344/346,736
  6. Step 6: Final answer
    x = 764,360.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.