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Finding the Third Proportional to 233,534 and 502,884

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Solution

The third proportional to 233,534 and 502,884 is: 1,082,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,534 : 502,884 = 502,884 : x
  2. Step 2: Convert to fraction form
    233,534/502,884 = 502,884/x
  3. Step 3: Cross multiply
    233,534x = 502,884 × 502,884
  4. Step 4: Simplify right side
    233,534x = 252,892,317,456
  5. Step 5: Solve for x
    x = 252,892,317,456/233,534
  6. Step 6: Final answer
    x = 1,082,892.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.