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Finding the Third Proportional to 303,798 and 488,100

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Solution

The third proportional to 303,798 and 488,100 is: 784,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,798 : 488,100 = 488,100 : x
  2. Step 2: Convert to fraction form
    303,798/488,100 = 488,100/x
  3. Step 3: Cross multiply
    303,798x = 488,100 × 488,100
  4. Step 4: Simplify right side
    303,798x = 238,241,610,000
  5. Step 5: Solve for x
    x = 238,241,610,000/303,798
  6. Step 6: Final answer
    x = 784,210.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.