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Finding the Third Proportional to 375,922 and 810,526

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Solution

The third proportional to 375,922 and 810,526 is: 1,747,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,922 : 810,526 = 810,526 : x
  2. Step 2: Convert to fraction form
    375,922/810,526 = 810,526/x
  3. Step 3: Cross multiply
    375,922x = 810,526 × 810,526
  4. Step 4: Simplify right side
    375,922x = 656,952,396,676
  5. Step 5: Solve for x
    x = 656,952,396,676/375,922
  6. Step 6: Final answer
    x = 1,747,576.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.