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Finding the Third Proportional to 200,582 and 435,744

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Solution

The third proportional to 200,582 and 435,744 is: 946,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,582 : 435,744 = 435,744 : x
  2. Step 2: Convert to fraction form
    200,582/435,744 = 435,744/x
  3. Step 3: Cross multiply
    200,582x = 435,744 × 435,744
  4. Step 4: Simplify right side
    200,582x = 189,872,833,536
  5. Step 5: Solve for x
    x = 189,872,833,536/200,582
  6. Step 6: Final answer
    x = 946,609.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.