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Finding the Third Proportional to 203,432 and 441,046

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Solution

The third proportional to 203,432 and 441,046 is: 956,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,432 : 441,046 = 441,046 : x
  2. Step 2: Convert to fraction form
    203,432/441,046 = 441,046/x
  3. Step 3: Cross multiply
    203,432x = 441,046 × 441,046
  4. Step 4: Simplify right side
    203,432x = 194,521,574,116
  5. Step 5: Solve for x
    x = 194,521,574,116/203,432
  6. Step 6: Final answer
    x = 956,199.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.