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Finding the Third Proportional to 296,488 and 443,922

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Solution

The third proportional to 296,488 and 443,922 is: 664,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,488 : 443,922 = 443,922 : x
  2. Step 2: Convert to fraction form
    296,488/443,922 = 443,922/x
  3. Step 3: Cross multiply
    296,488x = 443,922 × 443,922
  4. Step 4: Simplify right side
    296,488x = 197,066,742,084
  5. Step 5: Solve for x
    x = 197,066,742,084/296,488
  6. Step 6: Final answer
    x = 664,670.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.