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Finding the Third Proportional to 302,023.50 and 650,332.50

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Solution

The third proportional to 302,023.50 and 650,332.50 is: 1,400,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,023.50 : 650,332.50 = 650,332.50 : x
  2. Step 2: Convert to fraction form
    302,023.50/650,332.50 = 650,332.50/x
  3. Step 3: Cross multiply
    302,023.50x = 650,332.50 × 650,332.50
  4. Step 4: Simplify right side
    302,023.50x = 422,932,360,556.25
  5. Step 5: Solve for x
    x = 422,932,360,556.25/302,023.50
  6. Step 6: Final answer
    x = 1,400,329.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.