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Finding the Third Proportional to 205,446.38 and 448,264.13

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Solution

The third proportional to 205,446.38 and 448,264.13 is: 978,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446.38 : 448,264.13 = 448,264.13 : x
  2. Step 2: Convert to fraction form
    205,446.38/448,264.13 = 448,264.13/x
  3. Step 3: Cross multiply
    205,446.38x = 448,264.13 × 448,264.13
  4. Step 4: Simplify right side
    205,446.38x = 200,940,725,762.02
  5. Step 5: Solve for x
    x = 200,940,725,762.02/205,446.38
  6. Step 6: Final answer
    x = 978,068.98

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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.