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Finding the Third Proportional to 343,443.50 and 504,881

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Solution

The third proportional to 343,443.50 and 504,881 is: 742,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,443.50 : 504,881 = 504,881 : x
  2. Step 2: Convert to fraction form
    343,443.50/504,881 = 504,881/x
  3. Step 3: Cross multiply
    343,443.50x = 504,881 × 504,881
  4. Step 4: Simplify right side
    343,443.50x = 254,904,824,161
  5. Step 5: Solve for x
    x = 254,904,824,161/343,443.50
  6. Step 6: Final answer
    x = 742,203.08

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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.