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Finding the Third Proportional to 338,706 and 722,412

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Solution

The third proportional to 338,706 and 722,412 is: 1,540,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,706 : 722,412 = 722,412 : x
  2. Step 2: Convert to fraction form
    338,706/722,412 = 722,412/x
  3. Step 3: Cross multiply
    338,706x = 722,412 × 722,412
  4. Step 4: Simplify right side
    338,706x = 521,879,097,744
  5. Step 5: Solve for x
    x = 521,879,097,744/338,706
  6. Step 6: Final answer
    x = 1,540,802.64

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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.