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Finding the Third Proportional to 375,393 and 809,841

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Solution

The third proportional to 375,393 and 809,841 is: 1,747,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,393 : 809,841 = 809,841 : x
  2. Step 2: Convert to fraction form
    375,393/809,841 = 809,841/x
  3. Step 3: Cross multiply
    375,393x = 809,841 × 809,841
  4. Step 4: Simplify right side
    375,393x = 655,842,445,281
  5. Step 5: Solve for x
    x = 655,842,445,281/375,393
  6. Step 6: Final answer
    x = 1,747,082.25

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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.