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Finding the Third Proportional to 338,832 and 736,020

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Solution

The third proportional to 338,832 and 736,020 is: 1,598,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,832 : 736,020 = 736,020 : x
  2. Step 2: Convert to fraction form
    338,832/736,020 = 736,020/x
  3. Step 3: Cross multiply
    338,832x = 736,020 × 736,020
  4. Step 4: Simplify right side
    338,832x = 541,725,440,400
  5. Step 5: Solve for x
    x = 541,725,440,400/338,832
  6. Step 6: Final answer
    x = 1,598,802.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.