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Finding the Third Proportional to 205,534 and 448,417

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Solution

The third proportional to 205,534 and 448,417 is: 978,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,534 : 448,417 = 448,417 : x
  2. Step 2: Convert to fraction form
    205,534/448,417 = 448,417/x
  3. Step 3: Cross multiply
    205,534x = 448,417 × 448,417
  4. Step 4: Simplify right side
    205,534x = 201,077,805,889
  5. Step 5: Solve for x
    x = 201,077,805,889/205,534
  6. Step 6: Final answer
    x = 978,318.94

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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.