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Finding the Third Proportional to 375,079 and 535,979

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Solution

The third proportional to 375,079 and 535,979 is: 765,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,079 : 535,979 = 535,979 : x
  2. Step 2: Convert to fraction form
    375,079/535,979 = 535,979/x
  3. Step 3: Cross multiply
    375,079x = 535,979 × 535,979
  4. Step 4: Simplify right side
    375,079x = 287,273,488,441
  5. Step 5: Solve for x
    x = 287,273,488,441/375,079
  6. Step 6: Final answer
    x = 765,901.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.