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Finding the Third Proportional to 353,454 and 727,644

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Solution

The third proportional to 353,454 and 727,644 is: 1,497,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,454 : 727,644 = 727,644 : x
  2. Step 2: Convert to fraction form
    353,454/727,644 = 727,644/x
  3. Step 3: Cross multiply
    353,454x = 727,644 × 727,644
  4. Step 4: Simplify right side
    353,454x = 529,465,790,736
  5. Step 5: Solve for x
    x = 529,465,790,736/353,454
  6. Step 6: Final answer
    x = 1,497,976.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.