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Finding the Third Proportional to 303,668 and 664,541

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Solution

The third proportional to 303,668 and 664,541 is: 1,454,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,668 : 664,541 = 664,541 : x
  2. Step 2: Convert to fraction form
    303,668/664,541 = 664,541/x
  3. Step 3: Cross multiply
    303,668x = 664,541 × 664,541
  4. Step 4: Simplify right side
    303,668x = 441,614,740,681
  5. Step 5: Solve for x
    x = 441,614,740,681/303,668
  6. Step 6: Final answer
    x = 1,454,268.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.