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Finding the Third Proportional to 542,656 and 830,112

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Solution

The third proportional to 542,656 and 830,112 is: 1,269,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,656 : 830,112 = 830,112 : x
  2. Step 2: Convert to fraction form
    542,656/830,112 = 830,112/x
  3. Step 3: Cross multiply
    542,656x = 830,112 × 830,112
  4. Step 4: Simplify right side
    542,656x = 689,085,932,544
  5. Step 5: Solve for x
    x = 689,085,932,544/542,656
  6. Step 6: Final answer
    x = 1,269,839.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.