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Finding the Third Proportional to 275,674 and 593,585

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Solution

The third proportional to 275,674 and 593,585 is: 1,278,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,674 : 593,585 = 593,585 : x
  2. Step 2: Convert to fraction form
    275,674/593,585 = 593,585/x
  3. Step 3: Cross multiply
    275,674x = 593,585 × 593,585
  4. Step 4: Simplify right side
    275,674x = 352,343,152,225
  5. Step 5: Solve for x
    x = 352,343,152,225/275,674
  6. Step 6: Final answer
    x = 1,278,115.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.