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Finding the Third Proportional to 200,451 and 432,003

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Solution

The third proportional to 200,451 and 432,003 is: 931,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,451 : 432,003 = 432,003 : x
  2. Step 2: Convert to fraction form
    200,451/432,003 = 432,003/x
  3. Step 3: Cross multiply
    200,451x = 432,003 × 432,003
  4. Step 4: Simplify right side
    200,451x = 186,626,592,009
  5. Step 5: Solve for x
    x = 186,626,592,009/200,451
  6. Step 6: Final answer
    x = 931,033.48

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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.