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Finding the Third Proportional to 301,693 and 447,322

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Solution

The third proportional to 301,693 and 447,322 is: 663,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,693 : 447,322 = 447,322 : x
  2. Step 2: Convert to fraction form
    301,693/447,322 = 447,322/x
  3. Step 3: Cross multiply
    301,693x = 447,322 × 447,322
  4. Step 4: Simplify right side
    301,693x = 200,096,971,684
  5. Step 5: Solve for x
    x = 200,096,971,684/301,693
  6. Step 6: Final answer
    x = 663,246.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.