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Finding the Third Proportional to 291,689 and 633,172.50

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Solution

The third proportional to 291,689 and 633,172.50 is: 1,374,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,689 : 633,172.50 = 633,172.50 : x
  2. Step 2: Convert to fraction form
    291,689/633,172.50 = 633,172.50/x
  3. Step 3: Cross multiply
    291,689x = 633,172.50 × 633,172.50
  4. Step 4: Simplify right side
    291,689x = 400,907,414,756.25
  5. Step 5: Solve for x
    x = 400,907,414,756.25/291,689
  6. Step 6: Final answer
    x = 1,374,434.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.