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Finding the Third Proportional to 354,853.50 and 510,081

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Solution

The third proportional to 354,853.50 and 510,081 is: 733,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,853.50 : 510,081 = 510,081 : x
  2. Step 2: Convert to fraction form
    354,853.50/510,081 = 510,081/x
  3. Step 3: Cross multiply
    354,853.50x = 510,081 × 510,081
  4. Step 4: Simplify right side
    354,853.50x = 260,182,626,561
  5. Step 5: Solve for x
    x = 260,182,626,561/354,853.50
  6. Step 6: Final answer
    x = 733,211.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.