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Finding the Third Proportional to 338,038 and 519,636

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Solution

The third proportional to 338,038 and 519,636 is: 798,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,038 : 519,636 = 519,636 : x
  2. Step 2: Convert to fraction form
    338,038/519,636 = 519,636/x
  3. Step 3: Cross multiply
    338,038x = 519,636 × 519,636
  4. Step 4: Simplify right side
    338,038x = 270,021,572,496
  5. Step 5: Solve for x
    x = 270,021,572,496/338,038
  6. Step 6: Final answer
    x = 798,790.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.