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Finding the Third Proportional to 591,605.50 and 965,938

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Solution

The third proportional to 591,605.50 and 965,938 is: 1,577,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,605.50 : 965,938 = 965,938 : x
  2. Step 2: Convert to fraction form
    591,605.50/965,938 = 965,938/x
  3. Step 3: Cross multiply
    591,605.50x = 965,938 × 965,938
  4. Step 4: Simplify right side
    591,605.50x = 933,036,219,844
  5. Step 5: Solve for x
    x = 933,036,219,844/591,605.50
  6. Step 6: Final answer
    x = 1,577,125.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.