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Finding the Third Proportional to 362,174 and 771,128

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Solution

The third proportional to 362,174 and 771,128 is: 1,641,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,174 : 771,128 = 771,128 : x
  2. Step 2: Convert to fraction form
    362,174/771,128 = 771,128/x
  3. Step 3: Cross multiply
    362,174x = 771,128 × 771,128
  4. Step 4: Simplify right side
    362,174x = 594,638,392,384
  5. Step 5: Solve for x
    x = 594,638,392,384/362,174
  6. Step 6: Final answer
    x = 1,641,858.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.