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Finding the Third Proportional to 513,396 and 798,094

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Solution

The third proportional to 513,396 and 798,094 is: 1,240,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,396 : 798,094 = 798,094 : x
  2. Step 2: Convert to fraction form
    513,396/798,094 = 798,094/x
  3. Step 3: Cross multiply
    513,396x = 798,094 × 798,094
  4. Step 4: Simplify right side
    513,396x = 636,954,032,836
  5. Step 5: Solve for x
    x = 636,954,032,836/513,396
  6. Step 6: Final answer
    x = 1,240,668.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.