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Finding the Third Proportional to 343,446 and 504,886

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Solution

The third proportional to 343,446 and 504,886 is: 742,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,446 : 504,886 = 504,886 : x
  2. Step 2: Convert to fraction form
    343,446/504,886 = 504,886/x
  3. Step 3: Cross multiply
    343,446x = 504,886 × 504,886
  4. Step 4: Simplify right side
    343,446x = 254,909,872,996
  5. Step 5: Solve for x
    x = 254,909,872,996/343,446
  6. Step 6: Final answer
    x = 742,212.38

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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.