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Finding the Third Proportional to 235,783 and 515,546

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Solution

The third proportional to 235,783 and 515,546 is: 1,127,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,783 : 515,546 = 515,546 : x
  2. Step 2: Convert to fraction form
    235,783/515,546 = 515,546/x
  3. Step 3: Cross multiply
    235,783x = 515,546 × 515,546
  4. Step 4: Simplify right side
    235,783x = 265,787,678,116
  5. Step 5: Solve for x
    x = 265,787,678,116/235,783
  6. Step 6: Final answer
    x = 1,127,255.48

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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.