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Finding the Third Proportional to 388,466 and 845,296

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Solution

The third proportional to 388,466 and 845,296 is: 1,839,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,466 : 845,296 = 845,296 : x
  2. Step 2: Convert to fraction form
    388,466/845,296 = 845,296/x
  3. Step 3: Cross multiply
    388,466x = 845,296 × 845,296
  4. Step 4: Simplify right side
    388,466x = 714,525,327,616
  5. Step 5: Solve for x
    x = 714,525,327,616/388,466
  6. Step 6: Final answer
    x = 1,839,351.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.