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Finding the Third Proportional to 204,036 and 432,318

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Solution

The third proportional to 204,036 and 432,318 is: 916,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,036 : 432,318 = 432,318 : x
  2. Step 2: Convert to fraction form
    204,036/432,318 = 432,318/x
  3. Step 3: Cross multiply
    204,036x = 432,318 × 432,318
  4. Step 4: Simplify right side
    204,036x = 186,898,853,124
  5. Step 5: Solve for x
    x = 186,898,853,124/204,036
  6. Step 6: Final answer
    x = 916,009.20

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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.