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Finding the Third Proportional to 207,821.25 and 448,447.50

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Solution

The third proportional to 207,821.25 and 448,447.50 is: 967,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,821.25 : 448,447.50 = 448,447.50 : x
  2. Step 2: Convert to fraction form
    207,821.25/448,447.50 = 448,447.50/x
  3. Step 3: Cross multiply
    207,821.25x = 448,447.50 × 448,447.50
  4. Step 4: Simplify right side
    207,821.25x = 201,105,160,256.25
  5. Step 5: Solve for x
    x = 201,105,160,256.25/207,821.25
  6. Step 6: Final answer
    x = 967,683.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.