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Finding the Third Proportional to 356,536 and 783,062

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Solution

The third proportional to 356,536 and 783,062 is: 1,719,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,536 : 783,062 = 783,062 : x
  2. Step 2: Convert to fraction form
    356,536/783,062 = 783,062/x
  3. Step 3: Cross multiply
    356,536x = 783,062 × 783,062
  4. Step 4: Simplify right side
    356,536x = 613,186,095,844
  5. Step 5: Solve for x
    x = 613,186,095,844/356,536
  6. Step 6: Final answer
    x = 1,719,843.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.