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Finding the Third Proportional to 486,656 and 650,968

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Solution

The third proportional to 486,656 and 650,968 is: 870,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,656 : 650,968 = 650,968 : x
  2. Step 2: Convert to fraction form
    486,656/650,968 = 650,968/x
  3. Step 3: Cross multiply
    486,656x = 650,968 × 650,968
  4. Step 4: Simplify right side
    486,656x = 423,759,337,024
  5. Step 5: Solve for x
    x = 423,759,337,024/486,656
  6. Step 6: Final answer
    x = 870,757.45

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.