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Finding the Third Proportional to 205,429.50 and 448,671

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Solution

The third proportional to 205,429.50 and 448,671 is: 979,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429.50 : 448,671 = 448,671 : x
  2. Step 2: Convert to fraction form
    205,429.50/448,671 = 448,671/x
  3. Step 3: Cross multiply
    205,429.50x = 448,671 × 448,671
  4. Step 4: Simplify right side
    205,429.50x = 201,305,666,241
  5. Step 5: Solve for x
    x = 201,305,666,241/205,429.50
  6. Step 6: Final answer
    x = 979,925.80

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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.