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Finding the Third Proportional to 440,782.50 and 654,693

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Solution

The third proportional to 440,782.50 and 654,693 is: 972,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,782.50 : 654,693 = 654,693 : x
  2. Step 2: Convert to fraction form
    440,782.50/654,693 = 654,693/x
  3. Step 3: Cross multiply
    440,782.50x = 654,693 × 654,693
  4. Step 4: Simplify right side
    440,782.50x = 428,622,924,249
  5. Step 5: Solve for x
    x = 428,622,924,249/440,782.50
  6. Step 6: Final answer
    x = 972,413.66

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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.