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Finding the Third Proportional to 352,946.25 and 775,089

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Solution

The third proportional to 352,946.25 and 775,089 is: 1,702,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,946.25 : 775,089 = 775,089 : x
  2. Step 2: Convert to fraction form
    352,946.25/775,089 = 775,089/x
  3. Step 3: Cross multiply
    352,946.25x = 775,089 × 775,089
  4. Step 4: Simplify right side
    352,946.25x = 600,762,957,921
  5. Step 5: Solve for x
    x = 600,762,957,921/352,946.25
  6. Step 6: Final answer
    x = 1,702,137.25

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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.