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Finding the Third Proportional to 233,394 and 509,031

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Solution

The third proportional to 233,394 and 509,031 is: 1,110,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,394 : 509,031 = 509,031 : x
  2. Step 2: Convert to fraction form
    233,394/509,031 = 509,031/x
  3. Step 3: Cross multiply
    233,394x = 509,031 × 509,031
  4. Step 4: Simplify right side
    233,394x = 259,112,558,961
  5. Step 5: Solve for x
    x = 259,112,558,961/233,394
  6. Step 6: Final answer
    x = 1,110,193.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.