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Finding the Third Proportional to 201,836 and 432,649

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Solution

The third proportional to 201,836 and 432,649 is: 927,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,836 : 432,649 = 432,649 : x
  2. Step 2: Convert to fraction form
    201,836/432,649 = 432,649/x
  3. Step 3: Cross multiply
    201,836x = 432,649 × 432,649
  4. Step 4: Simplify right side
    201,836x = 187,185,157,201
  5. Step 5: Solve for x
    x = 187,185,157,201/201,836
  6. Step 6: Final answer
    x = 927,412.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.