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Finding the Third Proportional to 492,828.75 and 1,059,273

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Solution

The third proportional to 492,828.75 and 1,059,273 is: 2,276,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,828.75 : 1,059,273 = 1,059,273 : x
  2. Step 2: Convert to fraction form
    492,828.75/1,059,273 = 1,059,273/x
  3. Step 3: Cross multiply
    492,828.75x = 1,059,273 × 1,059,273
  4. Step 4: Simplify right side
    492,828.75x = 1,122,059,288,529
  5. Step 5: Solve for x
    x = 1,122,059,288,529/492,828.75
  6. Step 6: Final answer
    x = 2,276,773.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.