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Finding the Third Proportional to 490,902.50 and 1,059,261

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Solution

The third proportional to 490,902.50 and 1,059,261 is: 2,285,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,902.50 : 1,059,261 = 1,059,261 : x
  2. Step 2: Convert to fraction form
    490,902.50/1,059,261 = 1,059,261/x
  3. Step 3: Cross multiply
    490,902.50x = 1,059,261 × 1,059,261
  4. Step 4: Simplify right side
    490,902.50x = 1,122,033,866,121
  5. Step 5: Solve for x
    x = 1,122,033,866,121/490,902.50
  6. Step 6: Final answer
    x = 2,285,655.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.