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Finding the Third Proportional to 346,186.50 and 523,912.50

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Solution

The third proportional to 346,186.50 and 523,912.50 is: 792,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,186.50 : 523,912.50 = 523,912.50 : x
  2. Step 2: Convert to fraction form
    346,186.50/523,912.50 = 523,912.50/x
  3. Step 3: Cross multiply
    346,186.50x = 523,912.50 × 523,912.50
  4. Step 4: Simplify right side
    346,186.50x = 274,484,307,656.25
  5. Step 5: Solve for x
    x = 274,484,307,656.25/346,186.50
  6. Step 6: Final answer
    x = 792,879.87

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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.