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Finding the Third Proportional to 338,500 and 801,970

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Solution

The third proportional to 338,500 and 801,970 is: 1,900,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,500 : 801,970 = 801,970 : x
  2. Step 2: Convert to fraction form
    338,500/801,970 = 801,970/x
  3. Step 3: Cross multiply
    338,500x = 801,970 × 801,970
  4. Step 4: Simplify right side
    338,500x = 643,155,880,900
  5. Step 5: Solve for x
    x = 643,155,880,900/338,500
  6. Step 6: Final answer
    x = 1,900,017.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.