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Finding the Third Proportional to 362,061 and 772,200

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Solution

The third proportional to 362,061 and 772,200 is: 1,646,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,061 : 772,200 = 772,200 : x
  2. Step 2: Convert to fraction form
    362,061/772,200 = 772,200/x
  3. Step 3: Cross multiply
    362,061x = 772,200 × 772,200
  4. Step 4: Simplify right side
    362,061x = 596,292,840,000
  5. Step 5: Solve for x
    x = 596,292,840,000/362,061
  6. Step 6: Final answer
    x = 1,646,940.27

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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.