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Finding the Third Proportional to 229,411.50 and 539,751

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Solution

The third proportional to 229,411.50 and 539,751 is: 1,269,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.50 : 539,751 = 539,751 : x
  2. Step 2: Convert to fraction form
    229,411.50/539,751 = 539,751/x
  3. Step 3: Cross multiply
    229,411.50x = 539,751 × 539,751
  4. Step 4: Simplify right side
    229,411.50x = 291,331,142,001
  5. Step 5: Solve for x
    x = 291,331,142,001/229,411.50
  6. Step 6: Final answer
    x = 1,269,906.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.