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Finding the Third Proportional to 578,826 and 894,483

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Solution

The third proportional to 578,826 and 894,483 is: 1,382,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,826 : 894,483 = 894,483 : x
  2. Step 2: Convert to fraction form
    578,826/894,483 = 894,483/x
  3. Step 3: Cross multiply
    578,826x = 894,483 × 894,483
  4. Step 4: Simplify right side
    578,826x = 800,099,837,289
  5. Step 5: Solve for x
    x = 800,099,837,289/578,826
  6. Step 6: Final answer
    x = 1,382,280.40

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Why These Related Problems?

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