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Finding the Third Proportional to 475,800.75 and 700,558.88

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Solution

The third proportional to 475,800.75 and 700,558.88 is: 1,031,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,800.75 : 700,558.88 = 700,558.88 : x
  2. Step 2: Convert to fraction form
    475,800.75/700,558.88 = 700,558.88/x
  3. Step 3: Cross multiply
    475,800.75x = 700,558.88 × 700,558.88
  4. Step 4: Simplify right side
    475,800.75x = 490,782,737,341.27
  5. Step 5: Solve for x
    x = 490,782,737,341.27/475,800.75
  6. Step 6: Final answer
    x = 1,031,487.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.