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Finding the Third Proportional to 368,126 and 780,741

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Solution

The third proportional to 368,126 and 780,741 is: 1,655,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,126 : 780,741 = 780,741 : x
  2. Step 2: Convert to fraction form
    368,126/780,741 = 780,741/x
  3. Step 3: Cross multiply
    368,126x = 780,741 × 780,741
  4. Step 4: Simplify right side
    368,126x = 609,556,509,081
  5. Step 5: Solve for x
    x = 609,556,509,081/368,126
  6. Step 6: Final answer
    x = 1,655,836.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.