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Finding the Third Proportional to 371,167 and 794,821

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Solution

The third proportional to 371,167 and 794,821 is: 1,702,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,167 : 794,821 = 794,821 : x
  2. Step 2: Convert to fraction form
    371,167/794,821 = 794,821/x
  3. Step 3: Cross multiply
    371,167x = 794,821 × 794,821
  4. Step 4: Simplify right side
    371,167x = 631,740,422,041
  5. Step 5: Solve for x
    x = 631,740,422,041/371,167
  6. Step 6: Final answer
    x = 1,702,038.23

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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.