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Finding the Third Proportional to 344,205 and 756,477

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Solution

The third proportional to 344,205 and 756,477 is: 1,662,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,205 : 756,477 = 756,477 : x
  2. Step 2: Convert to fraction form
    344,205/756,477 = 756,477/x
  3. Step 3: Cross multiply
    344,205x = 756,477 × 756,477
  4. Step 4: Simplify right side
    344,205x = 572,257,451,529
  5. Step 5: Solve for x
    x = 572,257,451,529/344,205
  6. Step 6: Final answer
    x = 1,662,548.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.