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Finding the Third Proportional to 300,137 and 708,485

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Solution

The third proportional to 300,137 and 708,485 is: 1,672,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,137 : 708,485 = 708,485 : x
  2. Step 2: Convert to fraction form
    300,137/708,485 = 708,485/x
  3. Step 3: Cross multiply
    300,137x = 708,485 × 708,485
  4. Step 4: Simplify right side
    300,137x = 501,950,995,225
  5. Step 5: Solve for x
    x = 501,950,995,225/300,137
  6. Step 6: Final answer
    x = 1,672,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.