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Finding the Third Proportional to 270,740 and 595,480

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Solution

The third proportional to 270,740 and 595,480 is: 1,309,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,740 : 595,480 = 595,480 : x
  2. Step 2: Convert to fraction form
    270,740/595,480 = 595,480/x
  3. Step 3: Cross multiply
    270,740x = 595,480 × 595,480
  4. Step 4: Simplify right side
    270,740x = 354,596,430,400
  5. Step 5: Solve for x
    x = 354,596,430,400/270,740
  6. Step 6: Final answer
    x = 1,309,730.48

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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.