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Finding the Third Proportional to 631,624 and 970,864

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Solution

The third proportional to 631,624 and 970,864 is: 1,492,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,624 : 970,864 = 970,864 : x
  2. Step 2: Convert to fraction form
    631,624/970,864 = 970,864/x
  3. Step 3: Cross multiply
    631,624x = 970,864 × 970,864
  4. Step 4: Simplify right side
    631,624x = 942,576,906,496
  5. Step 5: Solve for x
    x = 942,576,906,496/631,624
  6. Step 6: Final answer
    x = 1,492,306.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.