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Finding the Third Proportional to 295,144 and 632,299

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Solution

The third proportional to 295,144 and 632,299 is: 1,354,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,144 : 632,299 = 632,299 : x
  2. Step 2: Convert to fraction form
    295,144/632,299 = 632,299/x
  3. Step 3: Cross multiply
    295,144x = 632,299 × 632,299
  4. Step 4: Simplify right side
    295,144x = 399,802,025,401
  5. Step 5: Solve for x
    x = 399,802,025,401/295,144
  6. Step 6: Final answer
    x = 1,354,599.87

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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.