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Finding the Third Proportional to 592,249 and 866,247

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Solution

The third proportional to 592,249 and 866,247 is: 1,267,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,249 : 866,247 = 866,247 : x
  2. Step 2: Convert to fraction form
    592,249/866,247 = 866,247/x
  3. Step 3: Cross multiply
    592,249x = 866,247 × 866,247
  4. Step 4: Simplify right side
    592,249x = 750,383,865,009
  5. Step 5: Solve for x
    x = 750,383,865,009/592,249
  6. Step 6: Final answer
    x = 1,267,007.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.