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Finding the Third Proportional to 602,660.25 and 911,765.25

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Solution

The third proportional to 602,660.25 and 911,765.25 is: 1,379,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,660.25 : 911,765.25 = 911,765.25 : x
  2. Step 2: Convert to fraction form
    602,660.25/911,765.25 = 911,765.25/x
  3. Step 3: Cross multiply
    602,660.25x = 911,765.25 × 911,765.25
  4. Step 4: Simplify right side
    602,660.25x = 831,315,871,107.56
  5. Step 5: Solve for x
    x = 831,315,871,107.56/602,660.25
  6. Step 6: Final answer
    x = 1,379,410.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.