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Finding the Third Proportional to 735,358.50 and 1,738,683

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Solution

The third proportional to 735,358.50 and 1,738,683 is: 4,110,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,358.50 : 1,738,683 = 1,738,683 : x
  2. Step 2: Convert to fraction form
    735,358.50/1,738,683 = 1,738,683/x
  3. Step 3: Cross multiply
    735,358.50x = 1,738,683 × 1,738,683
  4. Step 4: Simplify right side
    735,358.50x = 3,023,018,574,489
  5. Step 5: Solve for x
    x = 3,023,018,574,489/735,358.50
  6. Step 6: Final answer
    x = 4,110,945.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.