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Finding the Third Proportional to 388,158 and 844,656

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Solution

The third proportional to 388,158 and 844,656 is: 1,838,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,158 : 844,656 = 844,656 : x
  2. Step 2: Convert to fraction form
    388,158/844,656 = 844,656/x
  3. Step 3: Cross multiply
    388,158x = 844,656 × 844,656
  4. Step 4: Simplify right side
    388,158x = 713,443,758,336
  5. Step 5: Solve for x
    x = 713,443,758,336/388,158
  6. Step 6: Final answer
    x = 1,838,024.10

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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.