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Finding the Third Proportional to 233,631 and 490,590

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Solution

The third proportional to 233,631 and 490,590 is: 1,030,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,631 : 490,590 = 490,590 : x
  2. Step 2: Convert to fraction form
    233,631/490,590 = 490,590/x
  3. Step 3: Cross multiply
    233,631x = 490,590 × 490,590
  4. Step 4: Simplify right side
    233,631x = 240,678,548,100
  5. Step 5: Solve for x
    x = 240,678,548,100/233,631
  6. Step 6: Final answer
    x = 1,030,165.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.