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Finding the Third Proportional to 281,644.59 and 581,878.69

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Solution

The third proportional to 281,644.59 and 581,878.69 is: 1,202,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,644.59 : 581,878.69 = 581,878.69 : x
  2. Step 2: Convert to fraction form
    281,644.59/581,878.69 = 581,878.69/x
  3. Step 3: Cross multiply
    281,644.59x = 581,878.69 × 581,878.69
  4. Step 4: Simplify right side
    281,644.59x = 338,582,806,966.72
  5. Step 5: Solve for x
    x = 338,582,806,966.72/281,644.59
  6. Step 6: Final answer
    x = 1,202,163.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.