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Finding the Third Proportional to 366,964 and 583,799

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Solution

The third proportional to 366,964 and 583,799 is: 928,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 583,799 = 583,799 : x
  2. Step 2: Convert to fraction form
    366,964/583,799 = 583,799/x
  3. Step 3: Cross multiply
    366,964x = 583,799 × 583,799
  4. Step 4: Simplify right side
    366,964x = 340,821,272,401
  5. Step 5: Solve for x
    x = 340,821,272,401/366,964
  6. Step 6: Final answer
    x = 928,759.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.