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Finding the Third Proportional to 295,098 and 640,236

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Solution

The third proportional to 295,098 and 640,236 is: 1,389,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,098 : 640,236 = 640,236 : x
  2. Step 2: Convert to fraction form
    295,098/640,236 = 640,236/x
  3. Step 3: Cross multiply
    295,098x = 640,236 × 640,236
  4. Step 4: Simplify right side
    295,098x = 409,902,135,696
  5. Step 5: Solve for x
    x = 409,902,135,696/295,098
  6. Step 6: Final answer
    x = 1,389,037.32

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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.