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Finding the Third Proportional to 650,883 and 973,968

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Solution

The third proportional to 650,883 and 973,968 is: 1,457,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,883 : 973,968 = 973,968 : x
  2. Step 2: Convert to fraction form
    650,883/973,968 = 973,968/x
  3. Step 3: Cross multiply
    650,883x = 973,968 × 973,968
  4. Step 4: Simplify right side
    650,883x = 948,613,665,024
  5. Step 5: Solve for x
    x = 948,613,665,024/650,883
  6. Step 6: Final answer
    x = 1,457,425.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.