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Finding the Third Proportional to 762,229.30 and 1,045,185.24

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Solution

The third proportional to 762,229.30 and 1,045,185.24 is: 1,433,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,229.30 : 1,045,185.24 = 1,045,185.24 : x
  2. Step 2: Convert to fraction form
    762,229.30/1,045,185.24 = 1,045,185.24/x
  3. Step 3: Cross multiply
    762,229.30x = 1,045,185.24 × 1,045,185.24
  4. Step 4: Simplify right side
    762,229.30x = 1,092,412,186,403.84
  5. Step 5: Solve for x
    x = 1,092,412,186,403.84/762,229.30
  6. Step 6: Final answer
    x = 1,433,180.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.