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Finding the Third Proportional to 205,542 and 448,336

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Solution

The third proportional to 205,542 and 448,336 is: 977,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,542 : 448,336 = 448,336 : x
  2. Step 2: Convert to fraction form
    205,542/448,336 = 448,336/x
  3. Step 3: Cross multiply
    205,542x = 448,336 × 448,336
  4. Step 4: Simplify right side
    205,542x = 201,005,168,896
  5. Step 5: Solve for x
    x = 201,005,168,896/205,542
  6. Step 6: Final answer
    x = 977,927.47

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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.