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Finding the Third Proportional to 583,379 and 899,958

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Solution

The third proportional to 583,379 and 899,958 is: 1,388,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,379 : 899,958 = 899,958 : x
  2. Step 2: Convert to fraction form
    583,379/899,958 = 899,958/x
  3. Step 3: Cross multiply
    583,379x = 899,958 × 899,958
  4. Step 4: Simplify right side
    583,379x = 809,924,401,764
  5. Step 5: Solve for x
    x = 809,924,401,764/583,379
  6. Step 6: Final answer
    x = 1,388,333.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.