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Finding the Third Proportional to 338,942 and 736,906

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Solution

The third proportional to 338,942 and 736,906 is: 1,602,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,942 : 736,906 = 736,906 : x
  2. Step 2: Convert to fraction form
    338,942/736,906 = 736,906/x
  3. Step 3: Cross multiply
    338,942x = 736,906 × 736,906
  4. Step 4: Simplify right side
    338,942x = 543,030,452,836
  5. Step 5: Solve for x
    x = 543,030,452,836/338,942
  6. Step 6: Final answer
    x = 1,602,133.85

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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.