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Finding the Third Proportional to 418,136 and 631,096

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Solution

The third proportional to 418,136 and 631,096 is: 952,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,136 : 631,096 = 631,096 : x
  2. Step 2: Convert to fraction form
    418,136/631,096 = 631,096/x
  3. Step 3: Cross multiply
    418,136x = 631,096 × 631,096
  4. Step 4: Simplify right side
    418,136x = 398,282,161,216
  5. Step 5: Solve for x
    x = 398,282,161,216/418,136
  6. Step 6: Final answer
    x = 952,518.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.