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Finding the Third Proportional to 270,314.40 and 594,586.20

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Solution

The third proportional to 270,314.40 and 594,586.20 is: 1,307,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,314.40 : 594,586.20 = 594,586.20 : x
  2. Step 2: Convert to fraction form
    270,314.40/594,586.20 = 594,586.20/x
  3. Step 3: Cross multiply
    270,314.40x = 594,586.20 × 594,586.20
  4. Step 4: Simplify right side
    270,314.40x = 353,532,743,656.19
  5. Step 5: Solve for x
    x = 353,532,743,656.19/270,314.40
  6. Step 6: Final answer
    x = 1,307,857.59

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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.