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Finding the Third Proportional to 203,835 and 432,336

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Solution

The third proportional to 203,835 and 432,336 is: 916,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,835 : 432,336 = 432,336 : x
  2. Step 2: Convert to fraction form
    203,835/432,336 = 432,336/x
  3. Step 3: Cross multiply
    203,835x = 432,336 × 432,336
  4. Step 4: Simplify right side
    203,835x = 186,914,416,896
  5. Step 5: Solve for x
    x = 186,914,416,896/203,835
  6. Step 6: Final answer
    x = 916,988.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.