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Finding the Third Proportional to 227,853 and 490,764

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Solution

The third proportional to 227,853 and 490,764 is: 1,057,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,853 : 490,764 = 490,764 : x
  2. Step 2: Convert to fraction form
    227,853/490,764 = 490,764/x
  3. Step 3: Cross multiply
    227,853x = 490,764 × 490,764
  4. Step 4: Simplify right side
    227,853x = 240,849,303,696
  5. Step 5: Solve for x
    x = 240,849,303,696/227,853
  6. Step 6: Final answer
    x = 1,057,038.11

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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.