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Finding the Third Proportional to 280,210 and 385,322

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Solution

The third proportional to 280,210 and 385,322 is: 529,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,210 : 385,322 = 385,322 : x
  2. Step 2: Convert to fraction form
    280,210/385,322 = 385,322/x
  3. Step 3: Cross multiply
    280,210x = 385,322 × 385,322
  4. Step 4: Simplify right side
    280,210x = 148,473,043,684
  5. Step 5: Solve for x
    x = 148,473,043,684/280,210
  6. Step 6: Final answer
    x = 529,863.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.