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Finding the Third Proportional to 543,178 and 798,119

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Solution

The third proportional to 543,178 and 798,119 is: 1,172,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,178 : 798,119 = 798,119 : x
  2. Step 2: Convert to fraction form
    543,178/798,119 = 798,119/x
  3. Step 3: Cross multiply
    543,178x = 798,119 × 798,119
  4. Step 4: Simplify right side
    543,178x = 636,993,938,161
  5. Step 5: Solve for x
    x = 636,993,938,161/543,178
  6. Step 6: Final answer
    x = 1,172,716.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.