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Finding the Third Proportional to 375,082 and 803,744

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Solution

The third proportional to 375,082 and 803,744 is: 1,722,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,082 : 803,744 = 803,744 : x
  2. Step 2: Convert to fraction form
    375,082/803,744 = 803,744/x
  3. Step 3: Cross multiply
    375,082x = 803,744 × 803,744
  4. Step 4: Simplify right side
    375,082x = 646,004,417,536
  5. Step 5: Solve for x
    x = 646,004,417,536/375,082
  6. Step 6: Final answer
    x = 1,722,301.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.