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Finding the Third Proportional to 327,576 and 714,444

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Solution

The third proportional to 327,576 and 714,444 is: 1,558,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,576 : 714,444 = 714,444 : x
  2. Step 2: Convert to fraction form
    327,576/714,444 = 714,444/x
  3. Step 3: Cross multiply
    327,576x = 714,444 × 714,444
  4. Step 4: Simplify right side
    327,576x = 510,430,229,136
  5. Step 5: Solve for x
    x = 510,430,229,136/327,576
  6. Step 6: Final answer
    x = 1,558,203.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.