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Finding the Third Proportional to 383,553.56 and 807,543.84

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Solution

The third proportional to 383,553.56 and 807,543.84 is: 1,700,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,553.56 : 807,543.84 = 807,543.84 : x
  2. Step 2: Convert to fraction form
    383,553.56/807,543.84 = 807,543.84/x
  3. Step 3: Cross multiply
    383,553.56x = 807,543.84 × 807,543.84
  4. Step 4: Simplify right side
    383,553.56x = 652,127,059,578.52
  5. Step 5: Solve for x
    x = 652,127,059,578.52/383,553.56
  6. Step 6: Final answer
    x = 1,700,224.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.