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Finding the Third Proportional to 576,586 and 879,094

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Solution

The third proportional to 576,586 and 879,094 is: 1,340,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,586 : 879,094 = 879,094 : x
  2. Step 2: Convert to fraction form
    576,586/879,094 = 879,094/x
  3. Step 3: Cross multiply
    576,586x = 879,094 × 879,094
  4. Step 4: Simplify right side
    576,586x = 772,806,260,836
  5. Step 5: Solve for x
    x = 772,806,260,836/576,586
  6. Step 6: Final answer
    x = 1,340,313.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.