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Finding the Third Proportional to 571,987 and 759,018

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Solution

The third proportional to 571,987 and 759,018 is: 1,007,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,987 : 759,018 = 759,018 : x
  2. Step 2: Convert to fraction form
    571,987/759,018 = 759,018/x
  3. Step 3: Cross multiply
    571,987x = 759,018 × 759,018
  4. Step 4: Simplify right side
    571,987x = 576,108,324,324
  5. Step 5: Solve for x
    x = 576,108,324,324/571,987
  6. Step 6: Final answer
    x = 1,007,205.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.