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Finding the Third Proportional to 303,342 and 458,782.50

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Solution

The third proportional to 303,342 and 458,782.50 is: 693,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,342 : 458,782.50 = 458,782.50 : x
  2. Step 2: Convert to fraction form
    303,342/458,782.50 = 458,782.50/x
  3. Step 3: Cross multiply
    303,342x = 458,782.50 × 458,782.50
  4. Step 4: Simplify right side
    303,342x = 210,481,382,306.25
  5. Step 5: Solve for x
    x = 210,481,382,306.25/303,342
  6. Step 6: Final answer
    x = 693,874.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.