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Finding the Third Proportional to 382,052 and 830,440

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Solution

The third proportional to 382,052 and 830,440 is: 1,805,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,052 : 830,440 = 830,440 : x
  2. Step 2: Convert to fraction form
    382,052/830,440 = 830,440/x
  3. Step 3: Cross multiply
    382,052x = 830,440 × 830,440
  4. Step 4: Simplify right side
    382,052x = 689,630,593,600
  5. Step 5: Solve for x
    x = 689,630,593,600/382,052
  6. Step 6: Final answer
    x = 1,805,069.97

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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.