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Finding the Third Proportional to 255,841 and 383,791

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Solution

The third proportional to 255,841 and 383,791 is: 575,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,841 : 383,791 = 383,791 : x
  2. Step 2: Convert to fraction form
    255,841/383,791 = 383,791/x
  3. Step 3: Cross multiply
    255,841x = 383,791 × 383,791
  4. Step 4: Simplify right side
    255,841x = 147,295,531,681
  5. Step 5: Solve for x
    x = 147,295,531,681/255,841
  6. Step 6: Final answer
    x = 575,730.75

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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.