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Finding the Third Proportional to 360,947 and 504,657

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Solution

The third proportional to 360,947 and 504,657 is: 705,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,947 : 504,657 = 504,657 : x
  2. Step 2: Convert to fraction form
    360,947/504,657 = 504,657/x
  3. Step 3: Cross multiply
    360,947x = 504,657 × 504,657
  4. Step 4: Simplify right side
    360,947x = 254,678,687,649
  5. Step 5: Solve for x
    x = 254,678,687,649/360,947
  6. Step 6: Final answer
    x = 705,584.72

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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.