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Finding the Third Proportional to 337,266 and 780,813

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Solution

The third proportional to 337,266 and 780,813 is: 1,807,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,266 : 780,813 = 780,813 : x
  2. Step 2: Convert to fraction form
    337,266/780,813 = 780,813/x
  3. Step 3: Cross multiply
    337,266x = 780,813 × 780,813
  4. Step 4: Simplify right side
    337,266x = 609,668,940,969
  5. Step 5: Solve for x
    x = 609,668,940,969/337,266
  6. Step 6: Final answer
    x = 1,807,679.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.