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Finding the Third Proportional to 296,563.50 and 652,167

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Solution

The third proportional to 296,563.50 and 652,167 is: 1,434,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,563.50 : 652,167 = 652,167 : x
  2. Step 2: Convert to fraction form
    296,563.50/652,167 = 652,167/x
  3. Step 3: Cross multiply
    296,563.50x = 652,167 × 652,167
  4. Step 4: Simplify right side
    296,563.50x = 425,321,795,889
  5. Step 5: Solve for x
    x = 425,321,795,889/296,563.50
  6. Step 6: Final answer
    x = 1,434,167.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.