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Finding the Third Proportional to 232,402.50 and 509,031

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Solution

The third proportional to 232,402.50 and 509,031 is: 1,114,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,402.50 : 509,031 = 509,031 : x
  2. Step 2: Convert to fraction form
    232,402.50/509,031 = 509,031/x
  3. Step 3: Cross multiply
    232,402.50x = 509,031 × 509,031
  4. Step 4: Simplify right side
    232,402.50x = 259,112,558,961
  5. Step 5: Solve for x
    x = 259,112,558,961/232,402.50
  6. Step 6: Final answer
    x = 1,114,930.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.