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Finding the Third Proportional to 329,510 and 713,969

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Solution

The third proportional to 329,510 and 713,969 is: 1,546,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,510 : 713,969 = 713,969 : x
  2. Step 2: Convert to fraction form
    329,510/713,969 = 713,969/x
  3. Step 3: Cross multiply
    329,510x = 713,969 × 713,969
  4. Step 4: Simplify right side
    329,510x = 509,751,732,961
  5. Step 5: Solve for x
    x = 509,751,732,961/329,510
  6. Step 6: Final answer
    x = 1,546,999.28

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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.