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Finding the Third Proportional to 364,707 and 758,406

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Solution

The third proportional to 364,707 and 758,406 is: 1,577,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,707 : 758,406 = 758,406 : x
  2. Step 2: Convert to fraction form
    364,707/758,406 = 758,406/x
  3. Step 3: Cross multiply
    364,707x = 758,406 × 758,406
  4. Step 4: Simplify right side
    364,707x = 575,179,660,836
  5. Step 5: Solve for x
    x = 575,179,660,836/364,707
  6. Step 6: Final answer
    x = 1,577,100.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.