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Finding the Third Proportional to 343,442 and 504,879

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Solution

The third proportional to 343,442 and 504,879 is: 742,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,442 : 504,879 = 504,879 : x
  2. Step 2: Convert to fraction form
    343,442/504,879 = 504,879/x
  3. Step 3: Cross multiply
    343,442x = 504,879 × 504,879
  4. Step 4: Simplify right side
    343,442x = 254,902,804,641
  5. Step 5: Solve for x
    x = 254,902,804,641/343,442
  6. Step 6: Final answer
    x = 742,200.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.