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Finding the Third Proportional to 301,832 and 656,080

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Solution

The third proportional to 301,832 and 656,080 is: 1,426,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,832 : 656,080 = 656,080 : x
  2. Step 2: Convert to fraction form
    301,832/656,080 = 656,080/x
  3. Step 3: Cross multiply
    301,832x = 656,080 × 656,080
  4. Step 4: Simplify right side
    301,832x = 430,440,966,400
  5. Step 5: Solve for x
    x = 430,440,966,400/301,832
  6. Step 6: Final answer
    x = 1,426,094.54

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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.