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Finding the Third Proportional to 421,106.50 and 647,924.50

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Solution

The third proportional to 421,106.50 and 647,924.50 is: 996,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,106.50 : 647,924.50 = 647,924.50 : x
  2. Step 2: Convert to fraction form
    421,106.50/647,924.50 = 647,924.50/x
  3. Step 3: Cross multiply
    421,106.50x = 647,924.50 × 647,924.50
  4. Step 4: Simplify right side
    421,106.50x = 419,806,157,700.25
  5. Step 5: Solve for x
    x = 419,806,157,700.25/421,106.50
  6. Step 6: Final answer
    x = 996,912.08

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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.