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Finding the Third Proportional to 228,399.75 and 502,362

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Solution

The third proportional to 228,399.75 and 502,362 is: 1,104,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,399.75 : 502,362 = 502,362 : x
  2. Step 2: Convert to fraction form
    228,399.75/502,362 = 502,362/x
  3. Step 3: Cross multiply
    228,399.75x = 502,362 × 502,362
  4. Step 4: Simplify right side
    228,399.75x = 252,367,579,044
  5. Step 5: Solve for x
    x = 252,367,579,044/228,399.75
  6. Step 6: Final answer
    x = 1,104,938.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.