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Finding the Third Proportional to 475,900.50 and 700,692.75

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Solution

The third proportional to 475,900.50 and 700,692.75 is: 1,031,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,900.50 : 700,692.75 = 700,692.75 : x
  2. Step 2: Convert to fraction form
    475,900.50/700,692.75 = 700,692.75/x
  3. Step 3: Cross multiply
    475,900.50x = 700,692.75 × 700,692.75
  4. Step 4: Simplify right side
    475,900.50x = 490,970,329,902.56
  5. Step 5: Solve for x
    x = 490,970,329,902.56/475,900.50
  6. Step 6: Final answer
    x = 1,031,665.93

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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.