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Finding the Third Proportional to 362,052 and 772,182

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Solution

The third proportional to 362,052 and 772,182 is: 1,646,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,052 : 772,182 = 772,182 : x
  2. Step 2: Convert to fraction form
    362,052/772,182 = 772,182/x
  3. Step 3: Cross multiply
    362,052x = 772,182 × 772,182
  4. Step 4: Simplify right side
    362,052x = 596,265,041,124
  5. Step 5: Solve for x
    x = 596,265,041,124/362,052
  6. Step 6: Final answer
    x = 1,646,904.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.