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Finding the Third Proportional to 303,858.50 and 442,460.50

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Solution

The third proportional to 303,858.50 and 442,460.50 is: 644,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,858.50 : 442,460.50 = 442,460.50 : x
  2. Step 2: Convert to fraction form
    303,858.50/442,460.50 = 442,460.50/x
  3. Step 3: Cross multiply
    303,858.50x = 442,460.50 × 442,460.50
  4. Step 4: Simplify right side
    303,858.50x = 195,771,294,060.25
  5. Step 5: Solve for x
    x = 195,771,294,060.25/303,858.50
  6. Step 6: Final answer
    x = 644,284.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.