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Finding the Third Proportional to 464,183.25 and 626,289.75

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Solution

The third proportional to 464,183.25 and 626,289.75 is: 845,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,183.25 : 626,289.75 = 626,289.75 : x
  2. Step 2: Convert to fraction form
    464,183.25/626,289.75 = 626,289.75/x
  3. Step 3: Cross multiply
    464,183.25x = 626,289.75 × 626,289.75
  4. Step 4: Simplify right side
    464,183.25x = 392,238,850,955.06
  5. Step 5: Solve for x
    x = 392,238,850,955.06/464,183.25
  6. Step 6: Final answer
    x = 845,008.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.