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Finding the Third Proportional to 276,306 and 591,810

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Solution

The third proportional to 276,306 and 591,810 is: 1,267,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,306 : 591,810 = 591,810 : x
  2. Step 2: Convert to fraction form
    276,306/591,810 = 591,810/x
  3. Step 3: Cross multiply
    276,306x = 591,810 × 591,810
  4. Step 4: Simplify right side
    276,306x = 350,239,076,100
  5. Step 5: Solve for x
    x = 350,239,076,100/276,306
  6. Step 6: Final answer
    x = 1,267,576.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.