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Finding the Third Proportional to 610,922.25 and 666,285.75

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Solution

The third proportional to 610,922.25 and 666,285.75 is: 726,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,922.25 : 666,285.75 = 666,285.75 : x
  2. Step 2: Convert to fraction form
    610,922.25/666,285.75 = 666,285.75/x
  3. Step 3: Cross multiply
    610,922.25x = 666,285.75 × 666,285.75
  4. Step 4: Simplify right side
    610,922.25x = 443,936,700,653.06
  5. Step 5: Solve for x
    x = 443,936,700,653.06/610,922.25
  6. Step 6: Final answer
    x = 726,666.45

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.