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Finding the Third Proportional to 280,322 and 435,250

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Solution

The third proportional to 280,322 and 435,250 is: 675,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,322 : 435,250 = 435,250 : x
  2. Step 2: Convert to fraction form
    280,322/435,250 = 435,250/x
  3. Step 3: Cross multiply
    280,322x = 435,250 × 435,250
  4. Step 4: Simplify right side
    280,322x = 189,442,562,500
  5. Step 5: Solve for x
    x = 189,442,562,500/280,322
  6. Step 6: Final answer
    x = 675,803.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.