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Finding the Third Proportional to 370,558 and 767,324

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Solution

The third proportional to 370,558 and 767,324 is: 1,588,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,558 : 767,324 = 767,324 : x
  2. Step 2: Convert to fraction form
    370,558/767,324 = 767,324/x
  3. Step 3: Cross multiply
    370,558x = 767,324 × 767,324
  4. Step 4: Simplify right side
    370,558x = 588,786,120,976
  5. Step 5: Solve for x
    x = 588,786,120,976/370,558
  6. Step 6: Final answer
    x = 1,588,917.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.