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Finding the Third Proportional to 200,658 and 433,580

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Solution

The third proportional to 200,658 and 433,580 is: 936,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,658 : 433,580 = 433,580 : x
  2. Step 2: Convert to fraction form
    200,658/433,580 = 433,580/x
  3. Step 3: Cross multiply
    200,658x = 433,580 × 433,580
  4. Step 4: Simplify right side
    200,658x = 187,991,616,400
  5. Step 5: Solve for x
    x = 187,991,616,400/200,658
  6. Step 6: Final answer
    x = 936,875.76

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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.