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Finding the Third Proportional to 346,728 and 514,800

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Solution

The third proportional to 346,728 and 514,800 is: 764,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,728 : 514,800 = 514,800 : x
  2. Step 2: Convert to fraction form
    346,728/514,800 = 514,800/x
  3. Step 3: Cross multiply
    346,728x = 514,800 × 514,800
  4. Step 4: Simplify right side
    346,728x = 265,019,040,000
  5. Step 5: Solve for x
    x = 265,019,040,000/346,728
  6. Step 6: Final answer
    x = 764,342.77

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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.