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Finding the Third Proportional to 435,264 and 637,992

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Solution

The third proportional to 435,264 and 637,992 is: 935,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,264 : 637,992 = 637,992 : x
  2. Step 2: Convert to fraction form
    435,264/637,992 = 637,992/x
  3. Step 3: Cross multiply
    435,264x = 637,992 × 637,992
  4. Step 4: Simplify right side
    435,264x = 407,033,792,064
  5. Step 5: Solve for x
    x = 407,033,792,064/435,264
  6. Step 6: Final answer
    x = 935,142.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.