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Finding the Third Proportional to 296,430 and 443,831.25

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Solution

The third proportional to 296,430 and 443,831.25 is: 664,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,430 : 443,831.25 = 443,831.25 : x
  2. Step 2: Convert to fraction form
    296,430/443,831.25 = 443,831.25/x
  3. Step 3: Cross multiply
    296,430x = 443,831.25 × 443,831.25
  4. Step 4: Simplify right side
    296,430x = 196,986,178,476.56
  5. Step 5: Solve for x
    x = 196,986,178,476.56/296,430
  6. Step 6: Final answer
    x = 664,528.48

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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.