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Finding the Third Proportional to 281,760.75 and 607,907.25

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Solution

The third proportional to 281,760.75 and 607,907.25 is: 1,311,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760.75 : 607,907.25 = 607,907.25 : x
  2. Step 2: Convert to fraction form
    281,760.75/607,907.25 = 607,907.25/x
  3. Step 3: Cross multiply
    281,760.75x = 607,907.25 × 607,907.25
  4. Step 4: Simplify right side
    281,760.75x = 369,551,224,602.56
  5. Step 5: Solve for x
    x = 369,551,224,602.56/281,760.75
  6. Step 6: Final answer
    x = 1,311,578.08

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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.