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Finding the Third Proportional to 835,209.50 and 1,302,728

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Solution

The third proportional to 835,209.50 and 1,302,728 is: 2,031,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,209.50 : 1,302,728 = 1,302,728 : x
  2. Step 2: Convert to fraction form
    835,209.50/1,302,728 = 1,302,728/x
  3. Step 3: Cross multiply
    835,209.50x = 1,302,728 × 1,302,728
  4. Step 4: Simplify right side
    835,209.50x = 1,697,100,241,984
  5. Step 5: Solve for x
    x = 1,697,100,241,984/835,209.50
  6. Step 6: Final answer
    x = 2,031,945.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.