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Finding the Third Proportional to 235,568 and 491,047

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Solution

The third proportional to 235,568 and 491,047 is: 1,023,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,568 : 491,047 = 491,047 : x
  2. Step 2: Convert to fraction form
    235,568/491,047 = 491,047/x
  3. Step 3: Cross multiply
    235,568x = 491,047 × 491,047
  4. Step 4: Simplify right side
    235,568x = 241,127,156,209
  5. Step 5: Solve for x
    x = 241,127,156,209/235,568
  6. Step 6: Final answer
    x = 1,023,598.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.