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Finding the Third Proportional to 203,421 and 425,432

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Solution

The third proportional to 203,421 and 425,432 is: 889,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,421 : 425,432 = 425,432 : x
  2. Step 2: Convert to fraction form
    203,421/425,432 = 425,432/x
  3. Step 3: Cross multiply
    203,421x = 425,432 × 425,432
  4. Step 4: Simplify right side
    203,421x = 180,992,386,624
  5. Step 5: Solve for x
    x = 180,992,386,624/203,421
  6. Step 6: Final answer
    x = 889,742.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.