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Finding the Third Proportional to 277,873.50 and 430,538.25

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Solution

The third proportional to 277,873.50 and 430,538.25 is: 667,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,873.50 : 430,538.25 = 430,538.25 : x
  2. Step 2: Convert to fraction form
    277,873.50/430,538.25 = 430,538.25/x
  3. Step 3: Cross multiply
    277,873.50x = 430,538.25 × 430,538.25
  4. Step 4: Simplify right side
    277,873.50x = 185,363,184,713.06
  5. Step 5: Solve for x
    x = 185,363,184,713.06/277,873.50
  6. Step 6: Final answer
    x = 667,077.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.