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Finding the Third Proportional to 617,734.50 and 1,353,567

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Solution

The third proportional to 617,734.50 and 1,353,567 is: 2,965,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,734.50 : 1,353,567 = 1,353,567 : x
  2. Step 2: Convert to fraction form
    617,734.50/1,353,567 = 1,353,567/x
  3. Step 3: Cross multiply
    617,734.50x = 1,353,567 × 1,353,567
  4. Step 4: Simplify right side
    617,734.50x = 1,832,143,623,489
  5. Step 5: Solve for x
    x = 1,832,143,623,489/617,734.50
  6. Step 6: Final answer
    x = 2,965,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.