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Finding the Third Proportional to 292,286.50 and 628,085

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Solution

The third proportional to 292,286.50 and 628,085 is: 1,349,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,286.50 : 628,085 = 628,085 : x
  2. Step 2: Convert to fraction form
    292,286.50/628,085 = 628,085/x
  3. Step 3: Cross multiply
    292,286.50x = 628,085 × 628,085
  4. Step 4: Simplify right side
    292,286.50x = 394,490,767,225
  5. Step 5: Solve for x
    x = 394,490,767,225/292,286.50
  6. Step 6: Final answer
    x = 1,349,671.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.