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Finding the Third Proportional to 233,514 and 368,979

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Solution

The third proportional to 233,514 and 368,979 is: 583,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,514 : 368,979 = 368,979 : x
  2. Step 2: Convert to fraction form
    233,514/368,979 = 368,979/x
  3. Step 3: Cross multiply
    233,514x = 368,979 × 368,979
  4. Step 4: Simplify right side
    233,514x = 136,145,502,441
  5. Step 5: Solve for x
    x = 136,145,502,441/233,514
  6. Step 6: Final answer
    x = 583,029.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.