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Finding the Third Proportional to 481,636.50 and 750,032.25

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Solution

The third proportional to 481,636.50 and 750,032.25 is: 1,167,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,636.50 : 750,032.25 = 750,032.25 : x
  2. Step 2: Convert to fraction form
    481,636.50/750,032.25 = 750,032.25/x
  3. Step 3: Cross multiply
    481,636.50x = 750,032.25 × 750,032.25
  4. Step 4: Simplify right side
    481,636.50x = 562,548,376,040.06
  5. Step 5: Solve for x
    x = 562,548,376,040.06/481,636.50
  6. Step 6: Final answer
    x = 1,167,993.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.