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Finding the Third Proportional to 407,696 and 864,728

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Solution

The third proportional to 407,696 and 864,728 is: 1,834,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,696 : 864,728 = 864,728 : x
  2. Step 2: Convert to fraction form
    407,696/864,728 = 864,728/x
  3. Step 3: Cross multiply
    407,696x = 864,728 × 864,728
  4. Step 4: Simplify right side
    407,696x = 747,754,513,984
  5. Step 5: Solve for x
    x = 747,754,513,984/407,696
  6. Step 6: Final answer
    x = 1,834,098.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.