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Finding the Third Proportional to 352,384 and 774,464

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Solution

The third proportional to 352,384 and 774,464 is: 1,702,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,384 : 774,464 = 774,464 : x
  2. Step 2: Convert to fraction form
    352,384/774,464 = 774,464/x
  3. Step 3: Cross multiply
    352,384x = 774,464 × 774,464
  4. Step 4: Simplify right side
    352,384x = 599,794,487,296
  5. Step 5: Solve for x
    x = 599,794,487,296/352,384
  6. Step 6: Final answer
    x = 1,702,104.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.