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Finding the Third Proportional to 375,504 and 782,071

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Solution

The third proportional to 375,504 and 782,071 is: 1,628,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,504 : 782,071 = 782,071 : x
  2. Step 2: Convert to fraction form
    375,504/782,071 = 782,071/x
  3. Step 3: Cross multiply
    375,504x = 782,071 × 782,071
  4. Step 4: Simplify right side
    375,504x = 611,635,049,041
  5. Step 5: Solve for x
    x = 611,635,049,041/375,504
  6. Step 6: Final answer
    x = 1,628,837.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.