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Finding the Third Proportional to 360,930 and 504,586

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Solution

The third proportional to 360,930 and 504,586 is: 705,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,930 : 504,586 = 504,586 : x
  2. Step 2: Convert to fraction form
    360,930/504,586 = 504,586/x
  3. Step 3: Cross multiply
    360,930x = 504,586 × 504,586
  4. Step 4: Simplify right side
    360,930x = 254,607,031,396
  5. Step 5: Solve for x
    x = 254,607,031,396/360,930
  6. Step 6: Final answer
    x = 705,419.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.