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Finding the Third Proportional to 302,968.69 and 460,749.94

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Solution

The third proportional to 302,968.69 and 460,749.94 is: 700,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,968.69 : 460,749.94 = 460,749.94 : x
  2. Step 2: Convert to fraction form
    302,968.69/460,749.94 = 460,749.94/x
  3. Step 3: Cross multiply
    302,968.69x = 460,749.94 × 460,749.94
  4. Step 4: Simplify right side
    302,968.69x = 212,290,504,906.25
  5. Step 5: Solve for x
    x = 212,290,504,906.25/302,968.69
  6. Step 6: Final answer
    x = 700,701.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.