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Finding the Third Proportional to 366,716.69 and 583,518.31

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Solution

The third proportional to 366,716.69 and 583,518.31 is: 928,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,716.69 : 583,518.31 = 583,518.31 : x
  2. Step 2: Convert to fraction form
    366,716.69/583,518.31 = 583,518.31/x
  3. Step 3: Cross multiply
    366,716.69x = 583,518.31 × 583,518.31
  4. Step 4: Simplify right side
    366,716.69x = 340,493,621,022.85
  5. Step 5: Solve for x
    x = 340,493,621,022.85/366,716.69
  6. Step 6: Final answer
    x = 928,492.30

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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.