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Finding the Third Proportional to 366,716.50 and 583,518

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Solution

The third proportional to 366,716.50 and 583,518 is: 928,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,716.50 : 583,518 = 583,518 : x
  2. Step 2: Convert to fraction form
    366,716.50/583,518 = 583,518/x
  3. Step 3: Cross multiply
    366,716.50x = 583,518 × 583,518
  4. Step 4: Simplify right side
    366,716.50x = 340,493,256,324
  5. Step 5: Solve for x
    x = 340,493,256,324/366,716.50
  6. Step 6: Final answer
    x = 928,491.78

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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.