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Finding the Third Proportional to 292,180 and 606,824

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Solution

The third proportional to 292,180 and 606,824 is: 1,260,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,180 : 606,824 = 606,824 : x
  2. Step 2: Convert to fraction form
    292,180/606,824 = 606,824/x
  3. Step 3: Cross multiply
    292,180x = 606,824 × 606,824
  4. Step 4: Simplify right side
    292,180x = 368,235,366,976
  5. Step 5: Solve for x
    x = 368,235,366,976/292,180
  6. Step 6: Final answer
    x = 1,260,303.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.