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Finding the Third Proportional to 382,080 and 830,520

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Solution

The third proportional to 382,080 and 830,520 is: 1,805,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,080 : 830,520 = 830,520 : x
  2. Step 2: Convert to fraction form
    382,080/830,520 = 830,520/x
  3. Step 3: Cross multiply
    382,080x = 830,520 × 830,520
  4. Step 4: Simplify right side
    382,080x = 689,763,470,400
  5. Step 5: Solve for x
    x = 689,763,470,400/382,080
  6. Step 6: Final answer
    x = 1,805,285.46

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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.