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Finding the Third Proportional to 200,488.50 and 433,701

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Solution

The third proportional to 200,488.50 and 433,701 is: 938,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,488.50 : 433,701 = 433,701 : x
  2. Step 2: Convert to fraction form
    200,488.50/433,701 = 433,701/x
  3. Step 3: Cross multiply
    200,488.50x = 433,701 × 433,701
  4. Step 4: Simplify right side
    200,488.50x = 188,096,557,401
  5. Step 5: Solve for x
    x = 188,096,557,401/200,488.50
  6. Step 6: Final answer
    x = 938,191.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.