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Finding the Third Proportional to 309,545 and 670,615

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Solution

The third proportional to 309,545 and 670,615 is: 1,452,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,545 : 670,615 = 670,615 : x
  2. Step 2: Convert to fraction form
    309,545/670,615 = 670,615/x
  3. Step 3: Cross multiply
    309,545x = 670,615 × 670,615
  4. Step 4: Simplify right side
    309,545x = 449,724,478,225
  5. Step 5: Solve for x
    x = 449,724,478,225/309,545
  6. Step 6: Final answer
    x = 1,452,856.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.