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Finding the Third Proportional to 366,072.75 and 749,985.75

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Solution

The third proportional to 366,072.75 and 749,985.75 is: 1,536,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,072.75 : 749,985.75 = 749,985.75 : x
  2. Step 2: Convert to fraction form
    366,072.75/749,985.75 = 749,985.75/x
  3. Step 3: Cross multiply
    366,072.75x = 749,985.75 × 749,985.75
  4. Step 4: Simplify right side
    366,072.75x = 562,478,625,203.06
  5. Step 5: Solve for x
    x = 562,478,625,203.06/366,072.75
  6. Step 6: Final answer
    x = 1,536,521.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.