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Finding the Third Proportional to 422,304 and 619,608

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Solution

The third proportional to 422,304 and 619,608 is: 909,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,304 : 619,608 = 619,608 : x
  2. Step 2: Convert to fraction form
    422,304/619,608 = 619,608/x
  3. Step 3: Cross multiply
    422,304x = 619,608 × 619,608
  4. Step 4: Simplify right side
    422,304x = 383,914,073,664
  5. Step 5: Solve for x
    x = 383,914,073,664/422,304
  6. Step 6: Final answer
    x = 909,094.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.