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Finding the Third Proportional to 208,010 and 490,865

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Solution

The third proportional to 208,010 and 490,865 is: 1,158,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010 : 490,865 = 490,865 : x
  2. Step 2: Convert to fraction form
    208,010/490,865 = 490,865/x
  3. Step 3: Cross multiply
    208,010x = 490,865 × 490,865
  4. Step 4: Simplify right side
    208,010x = 240,948,448,225
  5. Step 5: Solve for x
    x = 240,948,448,225/208,010
  6. Step 6: Final answer
    x = 1,158,350.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.