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Finding the Third Proportional to 489,253 and 688,975

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Solution

The third proportional to 489,253 and 688,975 is: 970,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,253 : 688,975 = 688,975 : x
  2. Step 2: Convert to fraction form
    489,253/688,975 = 688,975/x
  3. Step 3: Cross multiply
    489,253x = 688,975 × 688,975
  4. Step 4: Simplify right side
    489,253x = 474,686,550,625
  5. Step 5: Solve for x
    x = 474,686,550,625/489,253
  6. Step 6: Final answer
    x = 970,227.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.