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Finding the Third Proportional to 420,296 and 628,959

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Solution

The third proportional to 420,296 and 628,959 is: 941,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,296 : 628,959 = 628,959 : x
  2. Step 2: Convert to fraction form
    420,296/628,959 = 628,959/x
  3. Step 3: Cross multiply
    420,296x = 628,959 × 628,959
  4. Step 4: Simplify right side
    420,296x = 395,589,423,681
  5. Step 5: Solve for x
    x = 395,589,423,681/420,296
  6. Step 6: Final answer
    x = 941,216.25

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Why These Related Problems?

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