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Finding the Third Proportional to 340,149 and 708,273

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Solution

The third proportional to 340,149 and 708,273 is: 1,474,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,149 : 708,273 = 708,273 : x
  2. Step 2: Convert to fraction form
    340,149/708,273 = 708,273/x
  3. Step 3: Cross multiply
    340,149x = 708,273 × 708,273
  4. Step 4: Simplify right side
    340,149x = 501,650,642,529
  5. Step 5: Solve for x
    x = 501,650,642,529/340,149
  6. Step 6: Final answer
    x = 1,474,796.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.