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Finding the Third Proportional to 360,943 and 504,651

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Solution

The third proportional to 360,943 and 504,651 is: 705,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,943 : 504,651 = 504,651 : x
  2. Step 2: Convert to fraction form
    360,943/504,651 = 504,651/x
  3. Step 3: Cross multiply
    360,943x = 504,651 × 504,651
  4. Step 4: Simplify right side
    360,943x = 254,672,631,801
  5. Step 5: Solve for x
    x = 254,672,631,801/360,943
  6. Step 6: Final answer
    x = 705,575.76

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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.