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Finding the Third Proportional to 382,114.13 and 573,267.38

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Solution

The third proportional to 382,114.13 and 573,267.38 is: 860,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,114.13 : 573,267.38 = 573,267.38 : x
  2. Step 2: Convert to fraction form
    382,114.13/573,267.38 = 573,267.38/x
  3. Step 3: Cross multiply
    382,114.13x = 573,267.38 × 573,267.38
  4. Step 4: Simplify right side
    382,114.13x = 328,635,483,239.39
  5. Step 5: Solve for x
    x = 328,635,483,239.39/382,114.13
  6. Step 6: Final answer
    x = 860,045.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.