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Finding the Third Proportional to 654,201 and 927,733.50

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Solution

The third proportional to 654,201 and 927,733.50 is: 1,315,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,201 : 927,733.50 = 927,733.50 : x
  2. Step 2: Convert to fraction form
    654,201/927,733.50 = 927,733.50/x
  3. Step 3: Cross multiply
    654,201x = 927,733.50 × 927,733.50
  4. Step 4: Simplify right side
    654,201x = 860,689,447,022.25
  5. Step 5: Solve for x
    x = 860,689,447,022.25/654,201
  6. Step 6: Final answer
    x = 1,315,634.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.