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Finding the Third Proportional to 305,375.06 and 475,513.03

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Solution

The third proportional to 305,375.06 and 475,513.03 is: 740,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,375.06 : 475,513.03 = 475,513.03 : x
  2. Step 2: Convert to fraction form
    305,375.06/475,513.03 = 475,513.03/x
  3. Step 3: Cross multiply
    305,375.06x = 475,513.03 × 475,513.03
  4. Step 4: Simplify right side
    305,375.06x = 226,112,642,888.56
  5. Step 5: Solve for x
    x = 226,112,642,888.56/305,375.06
  6. Step 6: Final answer
    x = 740,442.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.