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Finding the Third Proportional to 700,942.50 and 1,050,247.50

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Solution

The third proportional to 700,942.50 and 1,050,247.50 is: 1,573,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,942.50 : 1,050,247.50 = 1,050,247.50 : x
  2. Step 2: Convert to fraction form
    700,942.50/1,050,247.50 = 1,050,247.50/x
  3. Step 3: Cross multiply
    700,942.50x = 1,050,247.50 × 1,050,247.50
  4. Step 4: Simplify right side
    700,942.50x = 1,103,019,811,256.25
  5. Step 5: Solve for x
    x = 1,103,019,811,256.25/700,942.50
  6. Step 6: Final answer
    x = 1,573,623.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.