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Finding the Third Proportional to 340,362 and 565,299

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Solution

The third proportional to 340,362 and 565,299 is: 938,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,362 : 565,299 = 565,299 : x
  2. Step 2: Convert to fraction form
    340,362/565,299 = 565,299/x
  3. Step 3: Cross multiply
    340,362x = 565,299 × 565,299
  4. Step 4: Simplify right side
    340,362x = 319,562,959,401
  5. Step 5: Solve for x
    x = 319,562,959,401/340,362
  6. Step 6: Final answer
    x = 938,891.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.