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Finding the Third Proportional to 421,884 and 651,450

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Solution

The third proportional to 421,884 and 651,450 is: 1,005,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,884 : 651,450 = 651,450 : x
  2. Step 2: Convert to fraction form
    421,884/651,450 = 651,450/x
  3. Step 3: Cross multiply
    421,884x = 651,450 × 651,450
  4. Step 4: Simplify right side
    421,884x = 424,387,102,500
  5. Step 5: Solve for x
    x = 424,387,102,500/421,884
  6. Step 6: Final answer
    x = 1,005,933.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.