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Finding the Third Proportional to 270,742 and 595,484

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Solution

The third proportional to 270,742 and 595,484 is: 1,309,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,742 : 595,484 = 595,484 : x
  2. Step 2: Convert to fraction form
    270,742/595,484 = 595,484/x
  3. Step 3: Cross multiply
    270,742x = 595,484 × 595,484
  4. Step 4: Simplify right side
    270,742x = 354,601,194,256
  5. Step 5: Solve for x
    x = 354,601,194,256/270,742
  6. Step 6: Final answer
    x = 1,309,738.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.