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Finding the Third Proportional to 295,096 and 640,232

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Solution

The third proportional to 295,096 and 640,232 is: 1,389,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,096 : 640,232 = 640,232 : x
  2. Step 2: Convert to fraction form
    295,096/640,232 = 640,232/x
  3. Step 3: Cross multiply
    295,096x = 640,232 × 640,232
  4. Step 4: Simplify right side
    295,096x = 409,897,013,824
  5. Step 5: Solve for x
    x = 409,897,013,824/295,096
  6. Step 6: Final answer
    x = 1,389,029.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.