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Finding the Third Proportional to 324,270 and 518,024

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Solution

The third proportional to 324,270 and 518,024 is: 827,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,270 : 518,024 = 518,024 : x
  2. Step 2: Convert to fraction form
    324,270/518,024 = 518,024/x
  3. Step 3: Cross multiply
    324,270x = 518,024 × 518,024
  4. Step 4: Simplify right side
    324,270x = 268,348,864,576
  5. Step 5: Solve for x
    x = 268,348,864,576/324,270
  6. Step 6: Final answer
    x = 827,547.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.