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Finding the Third Proportional to 235,868.63 and 509,280.75

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Solution

The third proportional to 235,868.63 and 509,280.75 is: 1,099,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,868.63 : 509,280.75 = 509,280.75 : x
  2. Step 2: Convert to fraction form
    235,868.63/509,280.75 = 509,280.75/x
  3. Step 3: Cross multiply
    235,868.63x = 509,280.75 × 509,280.75
  4. Step 4: Simplify right side
    235,868.63x = 259,366,882,320.56
  5. Step 5: Solve for x
    x = 259,366,882,320.56/235,868.63
  6. Step 6: Final answer
    x = 1,099,624.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.