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Finding the Third Proportional to 314,033.63 and 448,540.88

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Solution

The third proportional to 314,033.63 and 448,540.88 is: 640,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,033.63 : 448,540.88 = 448,540.88 : x
  2. Step 2: Convert to fraction form
    314,033.63/448,540.88 = 448,540.88/x
  3. Step 3: Cross multiply
    314,033.63x = 448,540.88 × 448,540.88
  4. Step 4: Simplify right side
    314,033.63x = 201,188,916,545.77
  5. Step 5: Solve for x
    x = 201,188,916,545.77/314,033.63
  6. Step 6: Final answer
    x = 640,660.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.