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Finding the Third Proportional to 331,631 and 710,577

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Solution

The third proportional to 331,631 and 710,577 is: 1,522,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,631 : 710,577 = 710,577 : x
  2. Step 2: Convert to fraction form
    331,631/710,577 = 710,577/x
  3. Step 3: Cross multiply
    331,631x = 710,577 × 710,577
  4. Step 4: Simplify right side
    331,631x = 504,919,672,929
  5. Step 5: Solve for x
    x = 504,919,672,929/331,631
  6. Step 6: Final answer
    x = 1,522,534.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.