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Finding the Third Proportional to 301,716.75 and 455,650.50

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Solution

The third proportional to 301,716.75 and 455,650.50 is: 688,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.75 : 455,650.50 = 455,650.50 : x
  2. Step 2: Convert to fraction form
    301,716.75/455,650.50 = 455,650.50/x
  3. Step 3: Cross multiply
    301,716.75x = 455,650.50 × 455,650.50
  4. Step 4: Simplify right side
    301,716.75x = 207,617,378,150.25
  5. Step 5: Solve for x
    x = 207,617,378,150.25/301,716.75
  6. Step 6: Final answer
    x = 688,120.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.