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Finding the Third Proportional to 301,404 and 470,322

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Solution

The third proportional to 301,404 and 470,322 is: 733,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,404 : 470,322 = 470,322 : x
  2. Step 2: Convert to fraction form
    301,404/470,322 = 470,322/x
  3. Step 3: Cross multiply
    301,404x = 470,322 × 470,322
  4. Step 4: Simplify right side
    301,404x = 221,202,783,684
  5. Step 5: Solve for x
    x = 221,202,783,684/301,404
  6. Step 6: Final answer
    x = 733,907.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.