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Finding the Third Proportional to 382,086 and 830,502

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Solution

The third proportional to 382,086 and 830,502 is: 1,805,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,086 : 830,502 = 830,502 : x
  2. Step 2: Convert to fraction form
    382,086/830,502 = 830,502/x
  3. Step 3: Cross multiply
    382,086x = 830,502 × 830,502
  4. Step 4: Simplify right side
    382,086x = 689,733,572,004
  5. Step 5: Solve for x
    x = 689,733,572,004/382,086
  6. Step 6: Final answer
    x = 1,805,178.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.