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Finding the Third Proportional to 294,849 and 441,769.50

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Solution

The third proportional to 294,849 and 441,769.50 is: 661,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,849 : 441,769.50 = 441,769.50 : x
  2. Step 2: Convert to fraction form
    294,849/441,769.50 = 441,769.50/x
  3. Step 3: Cross multiply
    294,849x = 441,769.50 × 441,769.50
  4. Step 4: Simplify right side
    294,849x = 195,160,291,130.25
  5. Step 5: Solve for x
    x = 195,160,291,130.25/294,849
  6. Step 6: Final answer
    x = 661,899.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.