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Finding the Third Proportional to 280,154.25 and 599,674.50

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Solution

The third proportional to 280,154.25 and 599,674.50 is: 1,283,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,154.25 : 599,674.50 = 599,674.50 : x
  2. Step 2: Convert to fraction form
    280,154.25/599,674.50 = 599,674.50/x
  3. Step 3: Cross multiply
    280,154.25x = 599,674.50 × 599,674.50
  4. Step 4: Simplify right side
    280,154.25x = 359,609,505,950.25
  5. Step 5: Solve for x
    x = 359,609,505,950.25/280,154.25
  6. Step 6: Final answer
    x = 1,283,612.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.