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Finding the Third Proportional to 205,748 and 448,912

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Solution

The third proportional to 205,748 and 448,912 is: 979,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,748 : 448,912 = 448,912 : x
  2. Step 2: Convert to fraction form
    205,748/448,912 = 448,912/x
  3. Step 3: Cross multiply
    205,748x = 448,912 × 448,912
  4. Step 4: Simplify right side
    205,748x = 201,521,983,744
  5. Step 5: Solve for x
    x = 201,521,983,744/205,748
  6. Step 6: Final answer
    x = 979,460.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.