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Finding the Third Proportional to 281,938.75 and 607,889.75

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Solution

The third proportional to 281,938.75 and 607,889.75 is: 1,310,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,938.75 : 607,889.75 = 607,889.75 : x
  2. Step 2: Convert to fraction form
    281,938.75/607,889.75 = 607,889.75/x
  3. Step 3: Cross multiply
    281,938.75x = 607,889.75 × 607,889.75
  4. Step 4: Simplify right side
    281,938.75x = 369,529,948,155.06
  5. Step 5: Solve for x
    x = 369,529,948,155.06/281,938.75
  6. Step 6: Final answer
    x = 1,310,674.56

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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.