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Finding the Third Proportional to 338,478.75 and 720,819

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Solution

The third proportional to 338,478.75 and 720,819 is: 1,535,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,478.75 : 720,819 = 720,819 : x
  2. Step 2: Convert to fraction form
    338,478.75/720,819 = 720,819/x
  3. Step 3: Cross multiply
    338,478.75x = 720,819 × 720,819
  4. Step 4: Simplify right side
    338,478.75x = 519,580,030,761
  5. Step 5: Solve for x
    x = 519,580,030,761/338,478.75
  6. Step 6: Final answer
    x = 1,535,044.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.