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Finding the Third Proportional to 281,653.50 and 435,844.50

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Solution

The third proportional to 281,653.50 and 435,844.50 is: 674,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,653.50 : 435,844.50 = 435,844.50 : x
  2. Step 2: Convert to fraction form
    281,653.50/435,844.50 = 435,844.50/x
  3. Step 3: Cross multiply
    281,653.50x = 435,844.50 × 435,844.50
  4. Step 4: Simplify right side
    281,653.50x = 189,960,428,180.25
  5. Step 5: Solve for x
    x = 189,960,428,180.25/281,653.50
  6. Step 6: Final answer
    x = 674,447.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.