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Finding the Third Proportional to 338,836 and 736,028

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Solution

The third proportional to 338,836 and 736,028 is: 1,598,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,836 : 736,028 = 736,028 : x
  2. Step 2: Convert to fraction form
    338,836/736,028 = 736,028/x
  3. Step 3: Cross multiply
    338,836x = 736,028 × 736,028
  4. Step 4: Simplify right side
    338,836x = 541,737,216,784
  5. Step 5: Solve for x
    x = 541,737,216,784/338,836
  6. Step 6: Final answer
    x = 1,598,818.36

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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.