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Finding the Third Proportional to 511,947 and 689,182

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Solution

The third proportional to 511,947 and 689,182 is: 927,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,947 : 689,182 = 689,182 : x
  2. Step 2: Convert to fraction form
    511,947/689,182 = 689,182/x
  3. Step 3: Cross multiply
    511,947x = 689,182 × 689,182
  4. Step 4: Simplify right side
    511,947x = 474,971,829,124
  5. Step 5: Solve for x
    x = 474,971,829,124/511,947
  6. Step 6: Final answer
    x = 927,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.