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Finding the Third Proportional to 202,904 and 433,948

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Solution

The third proportional to 202,904 and 433,948 is: 928,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904 : 433,948 = 433,948 : x
  2. Step 2: Convert to fraction form
    202,904/433,948 = 433,948/x
  3. Step 3: Cross multiply
    202,904x = 433,948 × 433,948
  4. Step 4: Simplify right side
    202,904x = 188,310,866,704
  5. Step 5: Solve for x
    x = 188,310,866,704/202,904
  6. Step 6: Final answer
    x = 928,078.63

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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.