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Finding the Third Proportional to 683,204 and 973,237

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Solution

The third proportional to 683,204 and 973,237 is: 1,386,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,204 : 973,237 = 973,237 : x
  2. Step 2: Convert to fraction form
    683,204/973,237 = 973,237/x
  3. Step 3: Cross multiply
    683,204x = 973,237 × 973,237
  4. Step 4: Simplify right side
    683,204x = 947,190,258,169
  5. Step 5: Solve for x
    x = 947,190,258,169/683,204
  6. Step 6: Final answer
    x = 1,386,394.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.