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Finding the Third Proportional to 200,451.50 and 432,004

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Solution

The third proportional to 200,451.50 and 432,004 is: 931,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,451.50 : 432,004 = 432,004 : x
  2. Step 2: Convert to fraction form
    200,451.50/432,004 = 432,004/x
  3. Step 3: Cross multiply
    200,451.50x = 432,004 × 432,004
  4. Step 4: Simplify right side
    200,451.50x = 186,627,456,016
  5. Step 5: Solve for x
    x = 186,627,456,016/200,451.50
  6. Step 6: Final answer
    x = 931,035.47

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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.