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Finding the Third Proportional to 338,036 and 685,402

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Solution

The third proportional to 338,036 and 685,402 is: 1,389,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,036 : 685,402 = 685,402 : x
  2. Step 2: Convert to fraction form
    338,036/685,402 = 685,402/x
  3. Step 3: Cross multiply
    338,036x = 685,402 × 685,402
  4. Step 4: Simplify right side
    338,036x = 469,775,901,604
  5. Step 5: Solve for x
    x = 469,775,901,604/338,036
  6. Step 6: Final answer
    x = 1,389,721.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.