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Finding the Third Proportional to 298,894.50 and 448,665.75

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Solution

The third proportional to 298,894.50 and 448,665.75 is: 673,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,894.50 : 448,665.75 = 448,665.75 : x
  2. Step 2: Convert to fraction form
    298,894.50/448,665.75 = 448,665.75/x
  3. Step 3: Cross multiply
    298,894.50x = 448,665.75 × 448,665.75
  4. Step 4: Simplify right side
    298,894.50x = 201,300,955,223.06
  5. Step 5: Solve for x
    x = 201,300,955,223.06/298,894.50
  6. Step 6: Final answer
    x = 673,484.98

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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.