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Finding the Third Proportional to 205,521.05 and 448,293.23

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Solution

The third proportional to 205,521.05 and 448,293.23 is: 977,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,521.05 : 448,293.23 = 448,293.23 : x
  2. Step 2: Convert to fraction form
    205,521.05/448,293.23 = 448,293.23/x
  3. Step 3: Cross multiply
    205,521.05x = 448,293.23 × 448,293.23
  4. Step 4: Simplify right side
    205,521.05x = 200,966,823,986.40
  5. Step 5: Solve for x
    x = 200,966,823,986.40/205,521.05
  6. Step 6: Final answer
    x = 977,840.60

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