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Finding the Third Proportional to 202,433 and 429,774

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Solution

The third proportional to 202,433 and 429,774 is: 912,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,433 : 429,774 = 429,774 : x
  2. Step 2: Convert to fraction form
    202,433/429,774 = 429,774/x
  3. Step 3: Cross multiply
    202,433x = 429,774 × 429,774
  4. Step 4: Simplify right side
    202,433x = 184,705,691,076
  5. Step 5: Solve for x
    x = 184,705,691,076/202,433
  6. Step 6: Final answer
    x = 912,428.76

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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.