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Finding the Third Proportional to 337,252 and 780,778

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Solution

The third proportional to 337,252 and 780,778 is: 1,807,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,252 : 780,778 = 780,778 : x
  2. Step 2: Convert to fraction form
    337,252/780,778 = 780,778/x
  3. Step 3: Cross multiply
    337,252x = 780,778 × 780,778
  4. Step 4: Simplify right side
    337,252x = 609,614,285,284
  5. Step 5: Solve for x
    x = 609,614,285,284/337,252
  6. Step 6: Final answer
    x = 1,807,592.79

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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.