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Finding the Third Proportional to 276,668 and 604,312

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Solution

The third proportional to 276,668 and 604,312 is: 1,319,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,668 : 604,312 = 604,312 : x
  2. Step 2: Convert to fraction form
    276,668/604,312 = 604,312/x
  3. Step 3: Cross multiply
    276,668x = 604,312 × 604,312
  4. Step 4: Simplify right side
    276,668x = 365,192,993,344
  5. Step 5: Solve for x
    x = 365,192,993,344/276,668
  6. Step 6: Final answer
    x = 1,319,968.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.