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Finding the Third Proportional to 683,228 and 973,274

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Solution

The third proportional to 683,228 and 973,274 is: 1,386,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,228 : 973,274 = 973,274 : x
  2. Step 2: Convert to fraction form
    683,228/973,274 = 973,274/x
  3. Step 3: Cross multiply
    683,228x = 973,274 × 973,274
  4. Step 4: Simplify right side
    683,228x = 947,262,279,076
  5. Step 5: Solve for x
    x = 947,262,279,076/683,228
  6. Step 6: Final answer
    x = 1,386,451.20

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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.