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Finding the Third Proportional to 580,438.75 and 879,436.63

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Solution

The third proportional to 580,438.75 and 879,436.63 is: 1,332,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,438.75 : 879,436.63 = 879,436.63 : x
  2. Step 2: Convert to fraction form
    580,438.75/879,436.63 = 879,436.63/x
  3. Step 3: Cross multiply
    580,438.75x = 879,436.63 × 879,436.63
  4. Step 4: Simplify right side
    580,438.75x = 773,408,777,391.39
  5. Step 5: Solve for x
    x = 773,408,777,391.39/580,438.75
  6. Step 6: Final answer
    x = 1,332,455.45

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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.