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Finding the Third Proportional to 735,622.50 and 1,558,755.75

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Solution

The third proportional to 735,622.50 and 1,558,755.75 is: 3,302,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,622.50 : 1,558,755.75 = 1,558,755.75 : x
  2. Step 2: Convert to fraction form
    735,622.50/1,558,755.75 = 1,558,755.75/x
  3. Step 3: Cross multiply
    735,622.50x = 1,558,755.75 × 1,558,755.75
  4. Step 4: Simplify right side
    735,622.50x = 2,429,719,488,158.06
  5. Step 5: Solve for x
    x = 2,429,719,488,158.06/735,622.50
  6. Step 6: Final answer
    x = 3,302,943.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.