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Finding the Third Proportional to 200,653 and 433,570

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Solution

The third proportional to 200,653 and 433,570 is: 936,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,653 : 433,570 = 433,570 : x
  2. Step 2: Convert to fraction form
    200,653/433,570 = 433,570/x
  3. Step 3: Cross multiply
    200,653x = 433,570 × 433,570
  4. Step 4: Simplify right side
    200,653x = 187,982,944,900
  5. Step 5: Solve for x
    x = 187,982,944,900/200,653
  6. Step 6: Final answer
    x = 936,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.