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Finding the Third Proportional to 338,946 and 736,914

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Solution

The third proportional to 338,946 and 736,914 is: 1,602,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,946 : 736,914 = 736,914 : x
  2. Step 2: Convert to fraction form
    338,946/736,914 = 736,914/x
  3. Step 3: Cross multiply
    338,946x = 736,914 × 736,914
  4. Step 4: Simplify right side
    338,946x = 543,042,243,396
  5. Step 5: Solve for x
    x = 543,042,243,396/338,946
  6. Step 6: Final answer
    x = 1,602,149.73

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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.