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Finding the Third Proportional to 388,266 and 795,352

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Solution

The third proportional to 388,266 and 795,352 is: 1,629,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,266 : 795,352 = 795,352 : x
  2. Step 2: Convert to fraction form
    388,266/795,352 = 795,352/x
  3. Step 3: Cross multiply
    388,266x = 795,352 × 795,352
  4. Step 4: Simplify right side
    388,266x = 632,584,803,904
  5. Step 5: Solve for x
    x = 632,584,803,904/388,266
  6. Step 6: Final answer
    x = 1,629,256.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.