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Finding the Third Proportional to 200,820 and 434,701.50

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Solution

The third proportional to 200,820 and 434,701.50 is: 940,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820 : 434,701.50 = 434,701.50 : x
  2. Step 2: Convert to fraction form
    200,820/434,701.50 = 434,701.50/x
  3. Step 3: Cross multiply
    200,820x = 434,701.50 × 434,701.50
  4. Step 4: Simplify right side
    200,820x = 188,965,394,102.25
  5. Step 5: Solve for x
    x = 188,965,394,102.25/200,820
  6. Step 6: Final answer
    x = 940,969.00

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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.