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Finding the Third Proportional to 513,924 and 783,021

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Solution

The third proportional to 513,924 and 783,021 is: 1,193,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,924 : 783,021 = 783,021 : x
  2. Step 2: Convert to fraction form
    513,924/783,021 = 783,021/x
  3. Step 3: Cross multiply
    513,924x = 783,021 × 783,021
  4. Step 4: Simplify right side
    513,924x = 613,121,886,441
  5. Step 5: Solve for x
    x = 613,121,886,441/513,924
  6. Step 6: Final answer
    x = 1,193,020.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.