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Finding the Third Proportional to 508,500 and 690,608.25

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Solution

The third proportional to 508,500 and 690,608.25 is: 937,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,500 : 690,608.25 = 690,608.25 : x
  2. Step 2: Convert to fraction form
    508,500/690,608.25 = 690,608.25/x
  3. Step 3: Cross multiply
    508,500x = 690,608.25 × 690,608.25
  4. Step 4: Simplify right side
    508,500x = 476,939,754,968.06
  5. Step 5: Solve for x
    x = 476,939,754,968.06/508,500
  6. Step 6: Final answer
    x = 937,934.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.