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Finding the Third Proportional to 302,026.50 and 650,338.50

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Solution

The third proportional to 302,026.50 and 650,338.50 is: 1,400,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,026.50 : 650,338.50 = 650,338.50 : x
  2. Step 2: Convert to fraction form
    302,026.50/650,338.50 = 650,338.50/x
  3. Step 3: Cross multiply
    302,026.50x = 650,338.50 × 650,338.50
  4. Step 4: Simplify right side
    302,026.50x = 422,940,164,582.25
  5. Step 5: Solve for x
    x = 422,940,164,582.25/302,026.50
  6. Step 6: Final answer
    x = 1,400,341.24

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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.