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Finding the Third Proportional to 276,316.31 and 421,853.06

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Solution

The third proportional to 276,316.31 and 421,853.06 is: 644,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,316.31 : 421,853.06 = 421,853.06 : x
  2. Step 2: Convert to fraction form
    276,316.31/421,853.06 = 421,853.06/x
  3. Step 3: Cross multiply
    276,316.31x = 421,853.06 × 421,853.06
  4. Step 4: Simplify right side
    276,316.31x = 177,960,006,340.63
  5. Step 5: Solve for x
    x = 177,960,006,340.63/276,316.31
  6. Step 6: Final answer
    x = 644,044.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.