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Finding the Third Proportional to 327,215 and 713,560

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Solution

The third proportional to 327,215 and 713,560 is: 1,556,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,215 : 713,560 = 713,560 : x
  2. Step 2: Convert to fraction form
    327,215/713,560 = 713,560/x
  3. Step 3: Cross multiply
    327,215x = 713,560 × 713,560
  4. Step 4: Simplify right side
    327,215x = 509,167,873,600
  5. Step 5: Solve for x
    x = 509,167,873,600/327,215
  6. Step 6: Final answer
    x = 1,556,065.20

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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.