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Finding the Third Proportional to 200,720 and 432,773

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Solution

The third proportional to 200,720 and 432,773 is: 933,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720 : 432,773 = 432,773 : x
  2. Step 2: Convert to fraction form
    200,720/432,773 = 432,773/x
  3. Step 3: Cross multiply
    200,720x = 432,773 × 432,773
  4. Step 4: Simplify right side
    200,720x = 187,292,469,529
  5. Step 5: Solve for x
    x = 187,292,469,529/200,720
  6. Step 6: Final answer
    x = 933,103.18

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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.