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Finding the Third Proportional to 200,089.50 and 472,324.50

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Solution

The third proportional to 200,089.50 and 472,324.50 is: 1,114,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.50 : 472,324.50 = 472,324.50 : x
  2. Step 2: Convert to fraction form
    200,089.50/472,324.50 = 472,324.50/x
  3. Step 3: Cross multiply
    200,089.50x = 472,324.50 × 472,324.50
  4. Step 4: Simplify right side
    200,089.50x = 223,090,433,300.25
  5. Step 5: Solve for x
    x = 223,090,433,300.25/200,089.50
  6. Step 6: Final answer
    x = 1,114,953.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.