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Finding the Third Proportional to 272,886 and 574,047

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Solution

The third proportional to 272,886 and 574,047 is: 1,207,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,886 : 574,047 = 574,047 : x
  2. Step 2: Convert to fraction form
    272,886/574,047 = 574,047/x
  3. Step 3: Cross multiply
    272,886x = 574,047 × 574,047
  4. Step 4: Simplify right side
    272,886x = 329,529,958,209
  5. Step 5: Solve for x
    x = 329,529,958,209/272,886
  6. Step 6: Final answer
    x = 1,207,573.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.