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Finding the Third Proportional to 200,747 and 438,429

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Solution

The third proportional to 200,747 and 438,429 is: 957,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747 : 438,429 = 438,429 : x
  2. Step 2: Convert to fraction form
    200,747/438,429 = 438,429/x
  3. Step 3: Cross multiply
    200,747x = 438,429 × 438,429
  4. Step 4: Simplify right side
    200,747x = 192,219,988,041
  5. Step 5: Solve for x
    x = 192,219,988,041/200,747
  6. Step 6: Final answer
    x = 957,523.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.