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Finding the Third Proportional to 336,858 and 730,884

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Solution

The third proportional to 336,858 and 730,884 is: 1,585,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,858 : 730,884 = 730,884 : x
  2. Step 2: Convert to fraction form
    336,858/730,884 = 730,884/x
  3. Step 3: Cross multiply
    336,858x = 730,884 × 730,884
  4. Step 4: Simplify right side
    336,858x = 534,191,421,456
  5. Step 5: Solve for x
    x = 534,191,421,456/336,858
  6. Step 6: Final answer
    x = 1,585,805.95

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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.