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Finding the Third Proportional to 585,252 and 855,576

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Solution

The third proportional to 585,252 and 855,576 is: 1,250,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,252 : 855,576 = 855,576 : x
  2. Step 2: Convert to fraction form
    585,252/855,576 = 855,576/x
  3. Step 3: Cross multiply
    585,252x = 855,576 × 855,576
  4. Step 4: Simplify right side
    585,252x = 732,010,291,776
  5. Step 5: Solve for x
    x = 732,010,291,776/585,252
  6. Step 6: Final answer
    x = 1,250,760.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.