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Finding the Third Proportional to 276,844.50 and 433,719.50

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Solution

The third proportional to 276,844.50 and 433,719.50 is: 679,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,844.50 : 433,719.50 = 433,719.50 : x
  2. Step 2: Convert to fraction form
    276,844.50/433,719.50 = 433,719.50/x
  3. Step 3: Cross multiply
    276,844.50x = 433,719.50 × 433,719.50
  4. Step 4: Simplify right side
    276,844.50x = 188,112,604,680.25
  5. Step 5: Solve for x
    x = 188,112,604,680.25/276,844.50
  6. Step 6: Final answer
    x = 679,488.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.