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Finding the Third Proportional to 656,724 and 998,328

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Solution

The third proportional to 656,724 and 998,328 is: 1,517,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,724 : 998,328 = 998,328 : x
  2. Step 2: Convert to fraction form
    656,724/998,328 = 998,328/x
  3. Step 3: Cross multiply
    656,724x = 998,328 × 998,328
  4. Step 4: Simplify right side
    656,724x = 996,658,795,584
  5. Step 5: Solve for x
    x = 996,658,795,584/656,724
  6. Step 6: Final answer
    x = 1,517,622.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.