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Finding the Third Proportional to 298,755 and 448,456.50

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Solution

The third proportional to 298,755 and 448,456.50 is: 673,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,755 : 448,456.50 = 448,456.50 : x
  2. Step 2: Convert to fraction form
    298,755/448,456.50 = 448,456.50/x
  3. Step 3: Cross multiply
    298,755x = 448,456.50 × 448,456.50
  4. Step 4: Simplify right side
    298,755x = 201,113,232,392.25
  5. Step 5: Solve for x
    x = 201,113,232,392.25/298,755
  6. Step 6: Final answer
    x = 673,171.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.