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Finding the Third Proportional to 307,476 and 650,120

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Solution

The third proportional to 307,476 and 650,120 is: 1,374,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,476 : 650,120 = 650,120 : x
  2. Step 2: Convert to fraction form
    307,476/650,120 = 650,120/x
  3. Step 3: Cross multiply
    307,476x = 650,120 × 650,120
  4. Step 4: Simplify right side
    307,476x = 422,656,014,400
  5. Step 5: Solve for x
    x = 422,656,014,400/307,476
  6. Step 6: Final answer
    x = 1,374,598.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.