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Finding the Third Proportional to 200,025 and 437,394

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Solution

The third proportional to 200,025 and 437,394 is: 956,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,025 : 437,394 = 437,394 : x
  2. Step 2: Convert to fraction form
    200,025/437,394 = 437,394/x
  3. Step 3: Cross multiply
    200,025x = 437,394 × 437,394
  4. Step 4: Simplify right side
    200,025x = 191,313,511,236
  5. Step 5: Solve for x
    x = 191,313,511,236/200,025
  6. Step 6: Final answer
    x = 956,448.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.