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Finding the Third Proportional to 366,138.35 and 750,114.42

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Solution

The third proportional to 366,138.35 and 750,114.42 is: 1,536,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,138.35 : 750,114.42 = 750,114.42 : x
  2. Step 2: Convert to fraction form
    366,138.35/750,114.42 = 750,114.42/x
  3. Step 3: Cross multiply
    366,138.35x = 750,114.42 × 750,114.42
  4. Step 4: Simplify right side
    366,138.35x = 562,671,645,904.87
  5. Step 5: Solve for x
    x = 562,671,645,904.87/366,138.35
  6. Step 6: Final answer
    x = 1,536,773.31

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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.