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Finding the Third Proportional to 272,818 and 643,104

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Solution

The third proportional to 272,818 and 643,104 is: 1,515,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,818 : 643,104 = 643,104 : x
  2. Step 2: Convert to fraction form
    272,818/643,104 = 643,104/x
  3. Step 3: Cross multiply
    272,818x = 643,104 × 643,104
  4. Step 4: Simplify right side
    272,818x = 413,582,754,816
  5. Step 5: Solve for x
    x = 413,582,754,816/272,818
  6. Step 6: Final answer
    x = 1,515,965.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.