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Finding the Third Proportional to 306,255 and 448,996.50

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Solution

The third proportional to 306,255 and 448,996.50 is: 658,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,255 : 448,996.50 = 448,996.50 : x
  2. Step 2: Convert to fraction form
    306,255/448,996.50 = 448,996.50/x
  3. Step 3: Cross multiply
    306,255x = 448,996.50 × 448,996.50
  4. Step 4: Simplify right side
    306,255x = 201,597,857,012.25
  5. Step 5: Solve for x
    x = 201,597,857,012.25/306,255
  6. Step 6: Final answer
    x = 658,267.97

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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.