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Finding the Third Proportional to 436,299 and 640,083

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Solution

The third proportional to 436,299 and 640,083 is: 939,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,299 : 640,083 = 640,083 : x
  2. Step 2: Convert to fraction form
    436,299/640,083 = 640,083/x
  3. Step 3: Cross multiply
    436,299x = 640,083 × 640,083
  4. Step 4: Simplify right side
    436,299x = 409,706,246,889
  5. Step 5: Solve for x
    x = 409,706,246,889/436,299
  6. Step 6: Final answer
    x = 939,049.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.