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Finding the Third Proportional to 573,826 and 885,427

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Solution

The third proportional to 573,826 and 885,427 is: 1,366,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,826 : 885,427 = 885,427 : x
  2. Step 2: Convert to fraction form
    573,826/885,427 = 885,427/x
  3. Step 3: Cross multiply
    573,826x = 885,427 × 885,427
  4. Step 4: Simplify right side
    573,826x = 783,980,972,329
  5. Step 5: Solve for x
    x = 783,980,972,329/573,826
  6. Step 6: Final answer
    x = 1,366,234.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.