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Finding the Third Proportional to 276,589.13 and 432,004.50

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Solution

The third proportional to 276,589.13 and 432,004.50 is: 674,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,589.13 : 432,004.50 = 432,004.50 : x
  2. Step 2: Convert to fraction form
    276,589.13/432,004.50 = 432,004.50/x
  3. Step 3: Cross multiply
    276,589.13x = 432,004.50 × 432,004.50
  4. Step 4: Simplify right side
    276,589.13x = 186,627,888,020.25
  5. Step 5: Solve for x
    x = 186,627,888,020.25/276,589.13
  6. Step 6: Final answer
    x = 674,747.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.