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Finding the Third Proportional to 277,423.50 and 419,051.75

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Solution

The third proportional to 277,423.50 and 419,051.75 is: 632,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,423.50 : 419,051.75 = 419,051.75 : x
  2. Step 2: Convert to fraction form
    277,423.50/419,051.75 = 419,051.75/x
  3. Step 3: Cross multiply
    277,423.50x = 419,051.75 × 419,051.75
  4. Step 4: Simplify right side
    277,423.50x = 175,604,369,178.06
  5. Step 5: Solve for x
    x = 175,604,369,178.06/277,423.50
  6. Step 6: Final answer
    x = 632,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.