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Finding the Third Proportional to 682,591.50 and 1,484,316

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Solution

The third proportional to 682,591.50 and 1,484,316 is: 3,227,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,591.50 : 1,484,316 = 1,484,316 : x
  2. Step 2: Convert to fraction form
    682,591.50/1,484,316 = 1,484,316/x
  3. Step 3: Cross multiply
    682,591.50x = 1,484,316 × 1,484,316
  4. Step 4: Simplify right side
    682,591.50x = 2,203,193,987,856
  5. Step 5: Solve for x
    x = 2,203,193,987,856/682,591.50
  6. Step 6: Final answer
    x = 3,227,690.34

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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.