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Finding the Third Proportional to 434,436.75 and 660,548.25

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Solution

The third proportional to 434,436.75 and 660,548.25 is: 1,004,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,436.75 : 660,548.25 = 660,548.25 : x
  2. Step 2: Convert to fraction form
    434,436.75/660,548.25 = 660,548.25/x
  3. Step 3: Cross multiply
    434,436.75x = 660,548.25 × 660,548.25
  4. Step 4: Simplify right side
    434,436.75x = 436,323,990,578.06
  5. Step 5: Solve for x
    x = 436,323,990,578.06/434,436.75
  6. Step 6: Final answer
    x = 1,004,344.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.