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Finding the Third Proportional to 274,818 and 596,628

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Solution

The third proportional to 274,818 and 596,628 is: 1,295,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,818 : 596,628 = 596,628 : x
  2. Step 2: Convert to fraction form
    274,818/596,628 = 596,628/x
  3. Step 3: Cross multiply
    274,818x = 596,628 × 596,628
  4. Step 4: Simplify right side
    274,818x = 355,964,970,384
  5. Step 5: Solve for x
    x = 355,964,970,384/274,818
  6. Step 6: Final answer
    x = 1,295,275.31

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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.