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Finding the Third Proportional to 352,795.50 and 762,178.50

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Solution

The third proportional to 352,795.50 and 762,178.50 is: 1,646,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,795.50 : 762,178.50 = 762,178.50 : x
  2. Step 2: Convert to fraction form
    352,795.50/762,178.50 = 762,178.50/x
  3. Step 3: Cross multiply
    352,795.50x = 762,178.50 × 762,178.50
  4. Step 4: Simplify right side
    352,795.50x = 580,916,065,862.25
  5. Step 5: Solve for x
    x = 580,916,065,862.25/352,795.50
  6. Step 6: Final answer
    x = 1,646,608.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.