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Finding the Third Proportional to 303,797 and 664,779

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Solution

The third proportional to 303,797 and 664,779 is: 1,454,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,797 : 664,779 = 664,779 : x
  2. Step 2: Convert to fraction form
    303,797/664,779 = 664,779/x
  3. Step 3: Cross multiply
    303,797x = 664,779 × 664,779
  4. Step 4: Simplify right side
    303,797x = 441,931,118,841
  5. Step 5: Solve for x
    x = 441,931,118,841/303,797
  6. Step 6: Final answer
    x = 1,454,692.18

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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.