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Finding the Third Proportional to 580,551.75 and 879,585.75

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Solution

The third proportional to 580,551.75 and 879,585.75 is: 1,332,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,551.75 : 879,585.75 = 879,585.75 : x
  2. Step 2: Convert to fraction form
    580,551.75/879,585.75 = 879,585.75/x
  3. Step 3: Cross multiply
    580,551.75x = 879,585.75 × 879,585.75
  4. Step 4: Simplify right side
    580,551.75x = 773,671,091,603.06
  5. Step 5: Solve for x
    x = 773,671,091,603.06/580,551.75
  6. Step 6: Final answer
    x = 1,332,647.94

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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.