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Finding the Third Proportional to 245,922 and 580,299

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Solution

The third proportional to 245,922 and 580,299 is: 1,369,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,922 : 580,299 = 580,299 : x
  2. Step 2: Convert to fraction form
    245,922/580,299 = 580,299/x
  3. Step 3: Cross multiply
    245,922x = 580,299 × 580,299
  4. Step 4: Simplify right side
    245,922x = 336,746,929,401
  5. Step 5: Solve for x
    x = 336,746,929,401/245,922
  6. Step 6: Final answer
    x = 1,369,324.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.