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Finding the Third Proportional to 487,289.25 and 753,090.75

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Solution

The third proportional to 487,289.25 and 753,090.75 is: 1,163,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,289.25 : 753,090.75 = 753,090.75 : x
  2. Step 2: Convert to fraction form
    487,289.25/753,090.75 = 753,090.75/x
  3. Step 3: Cross multiply
    487,289.25x = 753,090.75 × 753,090.75
  4. Step 4: Simplify right side
    487,289.25x = 567,145,677,735.56
  5. Step 5: Solve for x
    x = 567,145,677,735.56/487,289.25
  6. Step 6: Final answer
    x = 1,163,878.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.