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Finding the Third Proportional to 307,068 and 666,579

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Solution

The third proportional to 307,068 and 666,579 is: 1,447,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,068 : 666,579 = 666,579 : x
  2. Step 2: Convert to fraction form
    307,068/666,579 = 666,579/x
  3. Step 3: Cross multiply
    307,068x = 666,579 × 666,579
  4. Step 4: Simplify right side
    307,068x = 444,327,563,241
  5. Step 5: Solve for x
    x = 444,327,563,241/307,068
  6. Step 6: Final answer
    x = 1,447,000.54

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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.