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Finding the Third Proportional to 521,038 and 782,819

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Solution

The third proportional to 521,038 and 782,819 is: 1,176,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,038 : 782,819 = 782,819 : x
  2. Step 2: Convert to fraction form
    521,038/782,819 = 782,819/x
  3. Step 3: Cross multiply
    521,038x = 782,819 × 782,819
  4. Step 4: Simplify right side
    521,038x = 612,805,586,761
  5. Step 5: Solve for x
    x = 612,805,586,761/521,038
  6. Step 6: Final answer
    x = 1,176,124.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.