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Finding the Third Proportional to 268,746 and 406,596

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Solution

The third proportional to 268,746 and 406,596 is: 615,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,746 : 406,596 = 406,596 : x
  2. Step 2: Convert to fraction form
    268,746/406,596 = 406,596/x
  3. Step 3: Cross multiply
    268,746x = 406,596 × 406,596
  4. Step 4: Simplify right side
    268,746x = 165,320,307,216
  5. Step 5: Solve for x
    x = 165,320,307,216/268,746
  6. Step 6: Final answer
    x = 615,154.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.