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Finding the Third Proportional to 298,972 and 436,947

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Solution

The third proportional to 298,972 and 436,947 is: 638,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,972 : 436,947 = 436,947 : x
  2. Step 2: Convert to fraction form
    298,972/436,947 = 436,947/x
  3. Step 3: Cross multiply
    298,972x = 436,947 × 436,947
  4. Step 4: Simplify right side
    298,972x = 190,922,680,809
  5. Step 5: Solve for x
    x = 190,922,680,809/298,972
  6. Step 6: Final answer
    x = 638,597.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.