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Finding the Third Proportional to 483,126.75 and 764,887.50

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Solution

The third proportional to 483,126.75 and 764,887.50 is: 1,210,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,126.75 : 764,887.50 = 764,887.50 : x
  2. Step 2: Convert to fraction form
    483,126.75/764,887.50 = 764,887.50/x
  3. Step 3: Cross multiply
    483,126.75x = 764,887.50 × 764,887.50
  4. Step 4: Simplify right side
    483,126.75x = 585,052,887,656.25
  5. Step 5: Solve for x
    x = 585,052,887,656.25/483,126.75
  6. Step 6: Final answer
    x = 1,210,971.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.