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Finding the Third Proportional to 375,532 and 835,022

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Solution

The third proportional to 375,532 and 835,022 is: 1,856,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,532 : 835,022 = 835,022 : x
  2. Step 2: Convert to fraction form
    375,532/835,022 = 835,022/x
  3. Step 3: Cross multiply
    375,532x = 835,022 × 835,022
  4. Step 4: Simplify right side
    375,532x = 697,261,740,484
  5. Step 5: Solve for x
    x = 697,261,740,484/375,532
  6. Step 6: Final answer
    x = 1,856,730.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.