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Finding the Third Proportional to 329,514 and 713,976

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Solution

The third proportional to 329,514 and 713,976 is: 1,547,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,514 : 713,976 = 713,976 : x
  2. Step 2: Convert to fraction form
    329,514/713,976 = 713,976/x
  3. Step 3: Cross multiply
    329,514x = 713,976 × 713,976
  4. Step 4: Simplify right side
    329,514x = 509,761,728,576
  5. Step 5: Solve for x
    x = 509,761,728,576/329,514
  6. Step 6: Final answer
    x = 1,547,010.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.