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Finding the Third Proportional to 433,976 and 657,084

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Solution

The third proportional to 433,976 and 657,084 is: 994,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,976 : 657,084 = 657,084 : x
  2. Step 2: Convert to fraction form
    433,976/657,084 = 657,084/x
  3. Step 3: Cross multiply
    433,976x = 657,084 × 657,084
  4. Step 4: Simplify right side
    433,976x = 431,759,383,056
  5. Step 5: Solve for x
    x = 431,759,383,056/433,976
  6. Step 6: Final answer
    x = 994,892.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.