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Finding the Third Proportional to 524,172.09 and 717,287.06

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Solution

The third proportional to 524,172.09 and 717,287.06 is: 981,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,172.09 : 717,287.06 = 717,287.06 : x
  2. Step 2: Convert to fraction form
    524,172.09/717,287.06 = 717,287.06/x
  3. Step 3: Cross multiply
    524,172.09x = 717,287.06 × 717,287.06
  4. Step 4: Simplify right side
    524,172.09x = 514,500,730,029.88
  5. Step 5: Solve for x
    x = 514,500,730,029.88/524,172.09
  6. Step 6: Final answer
    x = 981,549.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.