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Finding the Third Proportional to 289,284.75 and 433,643.63

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Solution

The third proportional to 289,284.75 and 433,643.63 is: 650,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,284.75 : 433,643.63 = 433,643.63 : x
  2. Step 2: Convert to fraction form
    289,284.75/433,643.63 = 433,643.63/x
  3. Step 3: Cross multiply
    289,284.75x = 433,643.63 × 433,643.63
  4. Step 4: Simplify right side
    289,284.75x = 188,046,793,503.14
  5. Step 5: Solve for x
    x = 188,046,793,503.14/289,284.75
  6. Step 6: Final answer
    x = 650,040.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.