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Finding the Third Proportional to 382,004 and 830,438

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Solution

The third proportional to 382,004 and 830,438 is: 1,805,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,004 : 830,438 = 830,438 : x
  2. Step 2: Convert to fraction form
    382,004/830,438 = 830,438/x
  3. Step 3: Cross multiply
    382,004x = 830,438 × 830,438
  4. Step 4: Simplify right side
    382,004x = 689,627,271,844
  5. Step 5: Solve for x
    x = 689,627,271,844/382,004
  6. Step 6: Final answer
    x = 1,805,288.09

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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.