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Finding the Third Proportional to 347,260.50 and 704,180.25

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Solution

The third proportional to 347,260.50 and 704,180.25 is: 1,427,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,260.50 : 704,180.25 = 704,180.25 : x
  2. Step 2: Convert to fraction form
    347,260.50/704,180.25 = 704,180.25/x
  3. Step 3: Cross multiply
    347,260.50x = 704,180.25 × 704,180.25
  4. Step 4: Simplify right side
    347,260.50x = 495,869,824,490.06
  5. Step 5: Solve for x
    x = 495,869,824,490.06/347,260.50
  6. Step 6: Final answer
    x = 1,427,947.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.