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Finding the Third Proportional to 440,798 and 654,717

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Solution

The third proportional to 440,798 and 654,717 is: 972,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,798 : 654,717 = 654,717 : x
  2. Step 2: Convert to fraction form
    440,798/654,717 = 654,717/x
  3. Step 3: Cross multiply
    440,798x = 654,717 × 654,717
  4. Step 4: Simplify right side
    440,798x = 428,654,350,089
  5. Step 5: Solve for x
    x = 428,654,350,089/440,798
  6. Step 6: Final answer
    x = 972,450.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.